# Package for Environmental Statistics, Including US EPA Guidance

## Documentation for package ‘EnvStats’ version 2.8.1

- DESCRIPTION file.
- Package NEWS.

## Help Pages

A B C D E F G H I K L M N O P Q R S T V Z

## -- A --

ACE.13.TCE.df | Trichloroethylene Concentrations Before and After Remedation
Air.df | Atmospheric Environmental Conditions in New York City
Aldicarb | Aldicarb Concentrations from 1989 USEPA Guidance Document
anovaPE | Compute Lack-of-Fit and Pure Error Anova Table for a Linear Model
aovN | Compute Sample Size Necessary to Achieve Specified Power for One-Way Fixed-Effects Analysis of Variance
aovPower | Compute the Power of a One-Way Fixed-Effects Analysis of Variance

## -- B --

base | Base b Representation of a Number
Benthic.df | Benthic Data from Monitoring Program in Chesapeake Bay
Benzene | Benzene Concentrations from 1989 USEPA Guidance Document
Box-Cox | Boxcox Power Transformation
Box-Cox Censored | Boxcox Power Transformation for Type I Censored Data
Box-Cox Transformation | Boxcox Power Transformation
Box-Cox Transformation for Censored Data | Boxcox Power Transformation for Type I Censored Data
BoxCox | Boxcox Power Transformation
boxcox | Boxcox Power Transformation
BoxCox Censored | Boxcox Power Transformation for Type I Censored Data
BoxCox Transformation | Boxcox Power Transformation
BoxCox Transformation for Censored Data | Boxcox Power Transformation for Type I Censored Data
boxcox.default | Boxcox Power Transformation
boxcox.lm | Boxcox Power Transformation
boxcox.object | S3 Class "boxcox"
boxcoxCensored | Boxcox Power Transformation for Type I Censored Data
boxcoxCensored.object | S3 Class "boxcoxCensored"
boxcoxLm.object | S3 Class "boxcoxLm"
boxcoxTransform | Apply a Box-Cox Power Transformation to a Set of Data

## -- C --

Cadmium | Cadmium Concentrations from 1989 USEPA Guidance Document
calibrate | Fit a Calibration Line or Curve
calibrate.object | S3 Class "calibrate"
Calibration | EnvStats Functions for Calibration
Castillo and Hadi 1994 | Abstract: Castillo and Hadi (1994)
CastilloAndHadi1994 | Abstract: Castillo and Hadi (1994)
cdfCompare | Plot Two Cumulative Distribution Functions
cdfCompareCensored | Plot Two Cumulative Distribution Functions Based on Censored Data
cdfPlot | Plot Cumulative Distribution Function
Censored Data | EnvStats Functions for Censored Data
chenTTest | Chen's Modified One-Sided t-test for Skewed Distributions
Chi | The Chi Distribution
Chlordane | Chlordane Concentrations from 1989 USEPA Guidance Document
ciBinomHalfWidth | Half-Width of Confidence Interval for Binomial Proportion or Difference Between Two Proportions
ciBinomN | Sample Size for Specified Half-Width of Confidence Interval for Binomial Proportion or Difference Between Two Proportions
ciNormHalfWidth | Half-Width of Confidence Interval for Normal Distribution Mean or Difference Between Two Means
ciNormN | Sample Size for Specified Half-Width of Confidence Interval for Normal Distribution Mean or Difference Between Two Means
ciNparConfLevel | Compute Confidence Level Associated with a Nonparametric Confidence Interval for a Quantile
ciNparN | Sample Size for Nonparametric Confidence Interval for a Quantile
ciTableMean | Table of Confidence Intervals for Mean or Difference Between Two Means
ciTableProp | Table of Confidence Intervals for Proportion or Difference Between Two Proportions
Coefficient of Variation | Sample Coefficient of Variation.
coefficient of variation | Sample Coefficient of Variation.
Compare CDFs | Plot Two Cumulative Distribution Functions
Compare CDFs for Censored Data | Plot Two Cumulative Distribution Functions Based on Censored Data
Cumulative Distribution | Plot Cumulative Distribution Function
CV | Sample Coefficient of Variation.
cv | Sample Coefficient of Variation.

## -- D --

Data Transformations | EnvStats Functions for Data Transformations
dchi | The Chi Distribution
Delta Distribution | The Zero-Modified Lognormal (Delta) Distribution
Delta Distribution (Alternative Parameterization) | The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization)
DeltaDist | The Zero-Modified Lognormal (Delta) Distribution
DeltaDistAlt | The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization)
demp | The Empirical Distribution Based on a Set of Observations
Detection Limit | Determine Detection Limit
detection limit | Determine Detection Limit
detectionLimitCalibrate | Determine Detection Limit
devd | The Extreme Value (Gumbel) Distribution
dgammaAlt | The Gamma Distribution (Alternative Parameterization)
dgevd | The Generalized Extreme Value Distribution
distChoose | Choose Best Fitting Distribution Based on Goodness-of-Fit Tests
distChoose.default | Choose Best Fitting Distribution Based on Goodness-of-Fit Tests
distChoose.formula | Choose Best Fitting Distribution Based on Goodness-of-Fit Tests
distChoose.object | S3 Class "distChoose"
distChooseCensored | Choose Best Fitting Distribution Based on Goodness-of-Fit Tests for Censored Data
distChooseCensored.object | S3 Class "distChooseCensored"
Distribution.df | Data Frame Summarizing Available Probability Distributions and Estimation Methods
dlnorm3 | The Three-Parameter Lognormal Distribution
dlnormAlt | The Lognormal Distribution (Alternative Parameterization)
dlnormMix | Mixture of Two Lognormal Distributions
dlnormMixAlt | Mixture of Two Lognormal Distributions (Alternative Parameterization)
dlnormTrunc | The Truncated Lognormal Distribution
dlnormTruncAlt | The Truncated Lognormal Distribution (Alternative Parameterization)
dnormMix | Mixture of Two Normal Distributions
dnormTrunc | The Truncated Normal Distribution
dpareto | The Pareto Distribution
dtri | The Triangular Distribution
dzmlnorm | The Zero-Modified Lognormal (Delta) Distribution
dzmlnormAlt | The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization)
dzmnorm | The Zero-Modified Normal Distribution

## -- E --

ebeta | Estimate Parameters of a Beta Distribution
ebinom | Estimate Parameter of a Binomial Distribution
ecdfPlot | Empirical Cumulative Distribution Function Plot
ecdfPlotCensored | Empirical Cumulative Distribution Function Plot Based on Type I Censored Data
eevd | Estimate Parameters of an Extreme Value (Gumbel) Distribution
eexp | Estimate Rate Parameter of an Exponential Distribution
egamma | Estimate Parameters of Gamma Distribution
egammaAlt | Estimate Parameters of Gamma Distribution
egammaAltCensored | Estimate Mean and Coefficient of Variation for a Gamma Distribution Based on Type I Censored Data
egammaCensored | Estimate Shape and Scale Parameters for a Gamma Distribution Based on Type I Censored Data
egeom | Estimate Probability Parameter of a Geometric Distribution
egevd | Estimate Parameters of a Generalized Extreme Value Distribution
ehyper | Estimate Parameter of a Hypergeometric Distribution
elnorm | Estimate Parameters of a Lognormal Distribution (Log-Scale)
elnorm3 | Estimate Parameters of a Three-Parameter Lognormal Distribution (Log-Scale)
elnormAlt | Estimate Parameters of a Lognormal Distribution (Original Scale)
elnormAltCensored | Estimate Parameters for a Lognormal Distribution (Original Scale) Based on Type I Censored Data
elnormCensored | Estimate Parameters for a Lognormal Distribution (Log-Scale) Based on Type I Censored Data
elogis | Estimate Parameters of a Logistic Distribution
Empirical | The Empirical Distribution Based on a Set of Observations
empirical PDF | Plot Empirical Probability Density Function
enbinom | Estimate Probability Parameter of a Negative Binomial Distribution
enorm | Estimate Parameters of a Normal (Gaussian) Distribution
enormCensored | Estimate Parameters for a Normal Distribution Based on Type I Censored Data
enparCensored | Estimate Mean, Standard Deviation, and Standard Error Nonparametrically Based on Censored Data
Environmental | Atmospheric Environmental Conditions in New York City
Environmental.df | Atmospheric Environmental Conditions in New York City
EnvStats Functions for Censored Data | EnvStats Functions for Censored Data
EnvStats Functions for Goodness-of-Fit Tests | EnvStats Functions for Goodness-of-Fit Tests
EPA.02d.Ex.2.ug.per.L.vec | Concentrations in Exhibit 2 of 2002d USEPA Guidance Document
EPA.02d.Ex.4.mg.per.kg.vec | Concentrations in Exhibit 4 of 2002d USEPA Guidance Document
EPA.02d.Ex.6.mg.per.kg.vec | Concentrations in Exhibit 6 of 2002d USEPA Guidance Document
EPA.02d.Ex.9.mg.per.L.vec | Concentrations in Exhibit 9 of 2002d USEPA Guidance Document
EPA.09.Ex.10.1.nickel.df | Nickel Concentrations from Example 10-1 of 2009 USEPA Guidance Document
EPA.09.Ex.11.1.arsenic.df | Arsenic Concentrations from Example 11-1 of 2009 USEPA Guidance Document
EPA.09.Ex.12.1.ccl4.df | Carbon Tetrachloride Concentrations from Example 12-1 of 2009 USEPA Guidance Document
EPA.09.Ex.12.4.naphthalene.df | Naphthalene Concentrations from Example 12-4 of 2009 USEPA Guidance Document
EPA.09.Ex.13.1.iron.df | Iron Concentrations from Example 13-1 of 2009 USEPA Guidance Document
EPA.09.Ex.14.1.manganese.df | Manganese Concentrations from Example 14-1 of 2009 USEPA Guidance Document
EPA.09.Ex.14.3.alkalinity.df | Alkalinity Measures from Example 14-3 of 2009 USEPA Guidance Document
EPA.09.Ex.14.4.arsenic.df | Arsenic Concentrations from Example 14-4 of 2009 USEPA Guidance Document
EPA.09.Ex.14.8.df | Analyte Concentrations from Example 14-8 of 2009 USEPA Guidance Document
EPA.09.Ex.15.1.manganese.df | Manganese Concentrations from Example 15-1 of 2009 USEPA Guidance Document
EPA.09.Ex.16.1.sulfate.df | Sulfate Concentrations from Example 16-1 of 2009 USEPA Guidance Document
EPA.09.Ex.16.2.benzene.df | Benzene Concentrations from Example 16-2 of 2009 USEPA Guidance Document
EPA.09.Ex.16.4.copper.df | Copper Concentrations from Example 16-4 of 2009 USEPA Guidance Document
EPA.09.Ex.16.5.PCE.df | Tetrachloroethylene Concentrations from Example 16-5 of 2009 USEPA Guidance Document
EPA.09.Ex.17.1.loglead.df | Log-transformed Lead Concentrations from Example 17-1 of 2009 USEPA Guidance Document
EPA.09.Ex.17.2.toluene.df | Toluene Concentrations from Example 17-2 of 2009 USEPA Guidance Document
EPA.09.Ex.17.3.chrysene.df | Chrysene Concentrations from Example 17-3 of 2009 USEPA Guidance Document
EPA.09.Ex.17.3.log.chrysene.df | Log-transformed Chrysene Concentrations from Example 17-3 of 2009 USEPA Guidance Document
EPA.09.Ex.17.4.copper.df | Copper Concentrations from Example 17-4 of 2009 USEPA Guidance Document
EPA.09.Ex.17.5.chloride.df | Chloride Concentrations from Example 17-5 of 2009 USEPA Guidance Document
EPA.09.Ex.17.6.sulfate.df | Sulfate Concentrations from Example 17-6 of 2009 USEPA Guidance Document
EPA.09.Ex.17.7.sodium.df | Sodium Concentrations from Example 17-7 of 2009 USEPA Guidance Document
EPA.09.Ex.18.1.arsenic.df | Arsenic Concentrations from Example 18-1 of 2009 USEPA Guidance Document
EPA.09.Ex.18.2.chrysene.df | Chrysene Concentrations from Example 18-2 of 2009 USEPA Guidance Document
EPA.09.Ex.18.3.TCE.df | Trichloroethylene Concentrations from Example 18-3 of 2009 USEPA Guidance Document
EPA.09.Ex.18.4.xylene.df | Xylene Concentrations from Example 18-4 of 2009 USEPA Guidance Document
EPA.09.Ex.19.1.sulfate.df | Sulfate Concentrations from Example 19-1 of 2009 USEPA Guidance Document
EPA.09.Ex.19.2.chloride.df | Chloride Concentrations from Example 19-2 of 2009 USEPA Guidance Document
EPA.09.Ex.19.5.mercury.df | Mercury Concentrations from Example 19-5 of 2009 USEPA Guidance Document
EPA.09.Ex.20.1.nickel.df | Nickel Concentrations from Example 20-1 of 2009 USEPA Guidance Document
EPA.09.Ex.21.1.aldicarb.df | Aldicarb Concentrations from Example 21-1 of 2009 USEPA Guidance Document
EPA.09.Ex.21.2.benzene.df | Benzene Concentrations from Example 21-2 of 2009 USEPA Guidance Document
EPA.09.Ex.21.5.beryllium.df | Beryllium Concentrations from Example 21-5 of 2009 USEPA Guidance Document
EPA.09.Ex.21.6.nitrate.df | Nitrate Concentrations from Example 21-6 of 2009 USEPA Guidance Document
EPA.09.Ex.21.7.TCE.df | Trichloroethylene Concentrations from Example 21-7 of 2009 USEPA Guidance Document
EPA.09.Ex.22.1.VC.df | Vinyl Chloride Concentrations from Example 22-1 of 2009 USEPA Guidance Document
EPA.09.Ex.22.2.Specific.Conductance.df | Specific Conductance from Example 22-2 of 2009 USEPA Guidance Document
EPA.09.Ex.6.3.sulfate.df | Sulfate Concentrations from Example 6-3 of 2009 USEPA Guidance Document
EPA.09.Ex.7.1.arsenic.df | Arsenic concentrations from Example 7.1 of 2009 USEPA Guidance Document
EPA.09.Table.9.1.TCE.df | Trichloroethene concentrations in Table 9.1 of 2009 USEPA Guidance Document
EPA.09.Table.9.3.df | Arsenic, Mercury and Strontium Concentrations in Table 9-3 of 2009 USEPA Guidance Document
EPA.09.Table.9.4.nickel.vec | Nickel Concentrations in Table 9-4 of 2009 USEPA Guidance Document
EPA.89b.aldicarb1.df | Aldicarb Concentrations from 1989 USEPA Guidance Document
EPA.89b.aldicarb2.df | Aldicarb Concentrations from 1989 USEPA Guidance Document
EPA.89b.benzene.df | Benzene Concentrations from 1989 USEPA Guidance Document
EPA.89b.cadmium.df | Cadmium Concentrations from 1989 USEPA Guidance Document
EPA.89b.chlordane1.df | Chlordane Concentrations from 1989 USEPA Guidance Document
EPA.89b.chlordane2.df | Chlordane Concentrations from 1989 USEPA Guidance Document
EPA.89b.edb.df | EDB Concentrations from 1989 USEPA Guidance Document
EPA.89b.lead.df | Lead Concentrations from 1989 USEPA Guidance Document
EPA.89b.loglead.df | Log-transformed Lead Concentrations from 1989 USEPA Guidance Document
EPA.89b.manganese.df | Manganese Concentrations from 1989 USEPA Guidance Document
EPA.89b.sulfate.df | Sulfate Concentrations from 1989 USEPA Guidance Document
EPA.89b.t29.df | T-29 Concentrations from 1989 USEPA Guidance Document
EPA.89b.toc.vec | Total Organic Carbon Concentrations from 1989 USEPA Guidance Document
EPA.92c.arsenic1.df | Arsenic Concentrations from 1992 USEPA Guidance Document
EPA.92c.arsenic2.df | Arsenic Concentrations from 1992 USEPA Guidance Document
EPA.92c.arsenic3.df | Arsenic Concentrations from 1992 USEPA Guidance Document
EPA.92c.benzene1.df | Benzene Concentrations from 1992 USEPA Guidance Document
EPA.92c.benzene2.df | Benzene Concentrations from 1992 USEPA Guidance Document
EPA.92c.ccl4.df | Carbon Tetrachloride Concentrations from 1992 USEPA Guidance Document
EPA.92c.chrysene.df | Chrysene Concentrations from 1992 USEPA Guidance Document
EPA.92c.copper1.df | Copper Concentrations from 1992 USEPA Guidance Document
EPA.92c.copper2.df | Copper Concentrations from 1992 USEPA Guidance Document
EPA.92c.lognickel1.df | Log-transformed Nickel Concentrations from 1992 USEPA Guidance Document
EPA.92c.nickel1.df | Nickel Concentrations from 1992 USEPA Guidance Document
EPA.92c.nickel2.df | Nickel Concentrations from 1992 USEPA Guidance Document
EPA.92c.toluene.df | Toluene Concentrations from 1992 USEPA Guidance Document
EPA.92c.zinc.df | Zinc Concentrations from 1992 USEPA Guidance Document
EPA.92d.chromium.df | Chromium Concentrations from 1992 USEPA Guidance Document
EPA.92d.chromium.vec | Chromium Concentrations from 1992 USEPA Guidance Document
EPA.94b.lead.df | Lead Concentrations from 1994 USEPA Guidance Document
EPA.94b.tccb.df | 1,2,3,4-Tetrachlorobenzene Concentrations from 1994 USEPA Guidance Document
EPA.97.cadmium.111.df | Calibration Data for Cadmium at Mass 111
epareto | Estimate Parameters of a Pareto Distribution
epdfPlot | Plot Empirical Probability Density Function
epois | Estimate Parameter of a Poisson Distribution
epoisCensored | Estimate Mean of a Poisson Distribution Based on Type I Censored Data
eqbeta | Estimate Quantiles of a Beta Distribution
eqbinom | Estimate Quantiles of a Binomial Distribution
eqevd | Estimate Quantiles of an Extreme Value (Gumbel) Distribution
eqexp | Estimate Quantiles of an Exponential Distribution
eqgamma | Estimate Quantiles of a Gamma Distribution
eqgammaAlt | Estimate Quantiles of a Gamma Distribution
eqgeom | Estimate Quantiles of a Geometric Distribution
eqgevd | Estimate Quantiles of a Generalized Extreme Value Distribution
eqhyper | Estimate Quantiles of a Hypergeometric Distribution
eqlnorm | Estimate Quantiles of a Lognormal Distribution
eqlnorm3 | Estimate Quantiles of a Three-Parameter Lognormal Distribution
eqlnormCensored | Estimate Quantiles of a Lognormal Distribution Based on Type I Censored Data
eqlogis | Estimate Quantiles of a Logistic Distribution
eqnbinom | Estimate Quantiles of a Negative Binomial Distribution
eqnorm | Estimate Quantiles of a Normal Distribution
eqnormCensored | Estimate Quantiles of a Normal Distribution Based on Type I Censored Data
eqnpar | Estimate Quantiles of a Distribution Nonparametrically
eqpareto | Estimate Quantiles of a Pareto Distribution
eqpois | Estimate Quantiles of a Poisson Distribution
equnif | Estimate Quantiles of a Uniform Distribution
eqweibull | Estimate Quantiles of a Weibull Distribution
eqzmlnorm | Estimate Quantiles of a Zero-Modified Lognormal (Delta) Distribution
eqzmlnormAlt | Estimate Quantiles of a Zero-Modified Lognormal (Delta) Distribution
eqzmnorm | Estimate Quantiles of a Zero-Modified Normal Distribution
errorBar | Plot Pointwise Error Bars
estimate | S3 Class "estimate"
estimate.object | S3 Class "estimate"
estimateCensored | S3 Class "estimateCensored"
estimateCensored.object | S3 Class "estimateCensored"
Estimating Distribution Parameters | EnvStats Functions for Estimating Distribution Parameters
Estimating Distribution Quantiles | EnvStats Functions for Estimating Distribution Quantiles
Eulers Constant | Euler's Constant
EulersConstant | Euler's Constant
eunif | Estimate Parameters of a Uniform Distribution
EVD | The Extreme Value (Gumbel) Distribution
evNormOrdStats | Expected Value of Order Statistics for Random Sample from Standard Normal Distribution
evNormOrdStatsScalar | Expected Value of Order Statistics for Random Sample from Standard Normal Distribution
eweibull | Estimate Parameters of a Weibull Distribution
Extreme Value Distribution | The Extreme Value (Gumbel) Distribution
ezmlnorm | Estimate Parameters of a Zero-Modified Lognormal (Delta) Distribution
ezmlnormAlt | Estimate Parameters of a Zero-Modified Lognormal (Delta) Distribution
ezmnorm | Estimate Parameters of a Zero-Modified Normal Distribution

## -- F --

FcnsByCat | EnvStats Functions Listed by Category
FcnsByCatCalibration | EnvStats Functions for Calibration
FcnsByCatCensoredData | EnvStats Functions for Censored Data
FcnsByCatDataTrans | EnvStats Functions for Data Transformations
FcnsByCatEstDistParams | EnvStats Functions for Estimating Distribution Parameters
FcnsByCatEstDistQuants | EnvStats Functions for Estimating Distribution Quantiles
FcnsByCatGOFTests | EnvStats Functions for Goodness-of-Fit Tests
FcnsByCatHypothTests | EnvStats Functions for Hypothesis Tests
FcnsByCatMCandRisk | EnvStats Functions for Monte Carlo Simulation and Risk Assessment
FcnsByCatPlotProbDists | EnvStats Functions for Plotting Probability Distributions
FcnsByCatPlotUsingggplot2 | EnvStats Functions for Creating Plots Using the ggplot2 Package
FcnsByCatPower | EnvStats Functions for Power and Sample Size Calculations
FcnsByCatPredInts | EnvStats Functions for Prediction Intervals
FcnsByCatPrintPlot | EnvStats Functions for Printing and Plotting Objects of Various S3 Classes
FcnsByCatProbDists | EnvStats Probability Distributions and Random Numbers
FcnsByCatSumStats | EnvStats Functions for Summary Statistics and Plots
FcnsByCatTolInts | EnvStats Functions for Tolerance Intervals
FcnsByCatTrend | EnvStats Functions for Trend Analysis
Functions By Category | EnvStats Functions Listed by Category
Functions for Censored Data | EnvStats Functions for Censored Data

## -- G --

Gamma Distribution | The Gamma Distribution (Alternative Parameterization)
GammaAlt | The Gamma Distribution (Alternative Parameterization)
Generalized Extreme Value Distribution | The Generalized Extreme Value Distribution
geoMean | Geometric Mean
Geometric Mean | Geometric Mean
geometric mean | Geometric Mean
Geometric SD | Geometric Standard Deviation.
geometric SD | Geometric Standard Deviation.
Geometric Standard Deviation | Geometric Standard Deviation.
geometric standard deviation | Geometric Standard Deviation.
geom_stripchart | 1-D Scatter Plots with Confidence Intervals Using ggplot2
geoSD | Geometric Standard Deviation.
GEVD | The Generalized Extreme Value Distribution
Gibbons.et.al.09.Alkilinity.vec | Alkilinity Data from Gibbons et al. (2009)
Gibbons.et.al.09.Vinyl.Chloride.vec | Vinyl Chloride Data from Gibbons et al. (2009)
GOF | EnvStats Functions for Goodness-of-Fit Tests
gof | S3 Class "gof"
gof.object | S3 Class "gof"
gofCensored | S3 Class "gofCensored"
gofCensored.object | S3 Class "gofCensored"
gofGroup | S3 Class "gofGroup"
gofGroup.object | S3 Class "gofGroup"
gofGroupTest | Goodness-of-Fit Test for a Specified Probability Distribution for Groups
gofGroupTest.data.frame | Goodness-of-Fit Test for a Specified Probability Distribution for Groups
gofGroupTest.default | Goodness-of-Fit Test for a Specified Probability Distribution for Groups
gofGroupTest.formula | Goodness-of-Fit Test for a Specified Probability Distribution for Groups
gofGroupTest.list | Goodness-of-Fit Test for a Specified Probability Distribution for Groups
gofGroupTest.matrix | Goodness-of-Fit Test for a Specified Probability Distribution for Groups
gofOutlier | S3 Class "gofOutlier"
gofOutlier.object | S3 Class "gofOutlier"
gofTest | Goodness-of-Fit Test
gofTest.default | Goodness-of-Fit Test
gofTest.formula | Goodness-of-Fit Test
gofTestCensored | Goodness-of-Fit Test for Normal or Lognormal Distribution Based on Censored Data
gofTwoSample | S3 Class "gofTwoSample"
gofTwoSample.object | S3 Class "gofTwoSample"
Goodness-of-Fit Tests | EnvStats Functions for Goodness-of-Fit Tests
gpqCiNormCensored | Generalized Pivotal Quantity for Confidence Interval for the Mean of a Normal Distribution Based on Censored Data
gpqCiNormMultiplyCensored | Generalized Pivotal Quantity for Confidence Interval for the Mean of a Normal Distribution Based on Censored Data
gpqCiNormSinglyCensored | Generalized Pivotal Quantity for Confidence Interval for the Mean of a Normal Distribution Based on Censored Data
gpqTolIntNormCensored | Generalized Pivotal Quantity for Tolerance Interval for a Normal Distribution Based on Censored Data
gpqTolIntNormMultiplyCensored | Generalized Pivotal Quantity for Tolerance Interval for a Normal Distribution Based on Censored Data
gpqTolIntNormSinglyCensored | Generalized Pivotal Quantity for Tolerance Interval for a Normal Distribution Based on Censored Data
Graham.et.al.75.etu.df | Ethylene Thiourea Dose-Response Data
Grice.Bain.80.mat | Adjusted Alpha Levels to Compute Confidence Intervals for the Mean of a Gamma Distribution
Gumbel Distribution | The Extreme Value (Gumbel) Distribution

## -- H --

Helsel.Cohn.88.app.b.df | Example of Multiply Left-censored Data from Literature
Helsel.Cohn.88.silver.df | Silver Concentrations From An Interlab Comparison
Helsel.Hirsch.02.Mayfly.df | Paired Counts of Mayfly Nymphs Above and Below Industrial Outfalls
Hosking et al 1985 | Abstract: Hosking et al. (1985)
HoskingEtAl1985 | Abstract: Hosking et al. (1985)
htest.object | S3 Class "htest"
htestCensored.object | S3 Class "htestCensored"
Hypothesis Tests | EnvStats Functions for Hypothesis Tests

## -- I --

Interquartile Range | Interquartile Range
inversePredictCalibrate | Predict Concentration Using Calibration
iqr | Interquartile Range

## -- K --

kendallSeasonalTrendTest | Nonparametric Test for Monotonic Trend Within Each Season Based on Kendall's Tau Statistic
kendallSeasonalTrendTest.data.frame | Nonparametric Test for Monotonic Trend Within Each Season Based on Kendall's Tau Statistic
kendallSeasonalTrendTest.default | Nonparametric Test for Monotonic Trend Within Each Season Based on Kendall's Tau Statistic
kendallSeasonalTrendTest.formula | Nonparametric Test for Monotonic Trend Within Each Season Based on Kendall's Tau Statistic
kendallSeasonalTrendTest.matrix | Nonparametric Test for Monotonic Trend Within Each Season Based on Kendall's Tau Statistic
kendallTrendTest | Kendall's Nonparametric Test for Montonic Trend
kendallTrendTest.default | Kendall's Nonparametric Test for Montonic Trend
kendallTrendTest.formula | Kendall's Nonparametric Test for Montonic Trend
Kurtosis | Coefficient of (Excess) Kurtosis
kurtosis | Coefficient of (Excess) Kurtosis

## -- L --

Lin.Evans.80.df | Fecal Coliform Data from the Illinois River
linearTrendTestN | Sample Size for a t-Test for Linear Trend
linearTrendTestPower | Power of a t-Test for Linear Trend
linearTrendTestScaledMds | Scaled Minimal Detectable Slope for a t-Test for Linear Trend
lMoment | Estimate L-Moments
Lognormal3 | The Three-Parameter Lognormal Distribution
LognormalAlt | The Lognormal Distribution (Alternative Parameterization)
LognormalMix | Mixture of Two Lognormal Distributions
LognormalMixAlt | Mixture of Two Lognormal Distributions (Alternative Parameterization)
LognormalTrunc | The Truncated Lognormal Distribution
LognormalTruncAlt | The Truncated Lognormal Distribution (Alternative Parameterization)
longToWide | Convert a Long Format Data Set into a Wide Format

## -- M --

Millard.Deverel.88.df | Copper and Zinc Concentrations in Shallow Ground Water
Modified.TcCB.df | Modified 1,2,3,4-Tetrachlorobenzene Data with Censored Values
Monte Carlo Simulation and Risk Assessment | EnvStats Functions for Monte Carlo Simulation and Risk Assessment

## -- N --

newsEnvStats | Show the EnvStats NEWS File
NIOSH.89.air.lead.vec | NIOSH Air Lead Levels Data
Nonparametric Prediction Interval | Nonparametric Prediction Interval for a Continuous Distribution
Nonparametric Simultaneous Prediction Interval | Nonparametric Simultaneous Prediction Interval for a Continuous Distribution
NormalMix | Mixture of Two Normal Distributions
NormalTrunc | The Truncated Normal Distribution

## -- O --

Olympic.NH4.df | Ammonium Concentration in Precipitation Measured at Olympic National Park Hoh Ranger Station
oneSamplePermutationTest | Fisher's One-Sample Randomization (Permutation) Test for Location
Outlier Test | Rosner's Test for Outliers
outlier test | Rosner's Test for Outliers
Ozone.NE.df | Ozone Concentrations in the Northeast U.S.

## -- P --

Pareto | The Pareto Distribution
pchi | The Chi Distribution
pdfPlot | Plot Probability Density Function
pemp | The Empirical Distribution Based on a Set of Observations
permutationTest.object | S3 Class "permutationTest"
pevd | The Extreme Value (Gumbel) Distribution
pgammaAlt | The Gamma Distribution (Alternative Parameterization)
pgevd | The Generalized Extreme Value Distribution
plnorm3 | The Three-Parameter Lognormal Distribution
plnormAlt | The Lognormal Distribution (Alternative Parameterization)
plnormMix | Mixture of Two Lognormal Distributions
plnormMixAlt | Mixture of Two Lognormal Distributions (Alternative Parameterization)
plnormTrunc | The Truncated Lognormal Distribution
plnormTruncAlt | The Truncated Lognormal Distribution (Alternative Parameterization)
Plot CDF | Plot Cumulative Distribution Function
Plot Cumulative Distribution | Plot Cumulative Distribution Function
Plot PDF | Plot Probability Density Function
Plot Probability Density | Plot Probability Density Function
Plot Probability Distributions | EnvStats Functions for Plotting Probability Distributions
Plot Using ggplot2 | EnvStats Functions for Creating Plots Using the ggplot2 Package
plot.boxcox | Plot Results of Box-Cox Transformations
plot.boxcoxCensored | Plot Results of Box-Cox Transformations Based on Type I Censored Data
plot.boxcoxLm | Plot Results of Box-Cox Transformations for a Linear Model
plot.gof | Plot Results of Goodness-of-Fit Test
plot.gofCensored | Plot Results of Goodness-of-Fit Test Based on Censored Data
plot.gofGroup | Plot Results of Group Goodness-of-Fit Test
plot.gofTwoSample | Plot Results of Goodness-of-Fit Test to Compare Two Samples
plot.permutationTest | Plot Results of Permutation Test
plotAovDesign | Create Plots for a Sampling Design Based on a One-Way Fixed-Effects Analysis of Variance
plotCiBinomDesign | Plots for Sampling Design Based on Confidence Interval for Binomial Proportion or Difference Between Two Proportions
plotCiNormDesign | Plots for Sampling Design Based on Confidence Interval for Mean of a Normal Distribution or Difference Between Two Means
plotCiNparDesign | Plots for Sampling Design Based on Nonparametric Confidence Interval for a Quantile
plotLinearTrendTestDesign | Plots for a Sampling Design Based on a t-Test for Linear Trend
plotPredIntLnormAltSimultaneousTestPowerCurve | Power Curves for Sampling Design for Test Based on Simultaneous Prediction Interval for Lognormal Distribution
plotPredIntLnormAltTestPowerCurve | Power Curves for Sampling Design for Test Based on Prediction Interval for Lognormal Distribution
plotPredIntNormDesign | Plots for a Sampling Design Based on a Prediction Interval for the Next k Observations from a Normal Distribution
plotPredIntNormSimultaneousTestPowerCurve | Power Curves for Sampling Design for Test Based on Simultaneous Prediction Interval for Normal Distribution
plotPredIntNormTestPowerCurve | Power Curves for Sampling Design for Test Based on Prediction Interval for Normal Distribution
plotPredIntNparDesign | Plots for a Sampling Design Based on a Nonparametric Prediction Interval
plotPredIntNparSimultaneousDesign | Plots for a Sampling Design Based on a Simultaneous Nonparametric Prediction Interval
plotPredIntNparSimultaneousTestPowerCurve | Power Curves for Sampling Design for Test Based on Nonparametric Simultaneous Prediction Interval
plotPropTestDesign | Plots for Sampling Design Based on One- or Two-Sample Proportion Test
Plotting Probability Distributions | EnvStats Functions for Plotting Probability Distributions
Plotting Using ggplot2 | EnvStats Functions for Creating Plots Using the ggplot2 Package
plotTolIntNormDesign | Plots for a Sampling Design Based on a Tolerance Interval for a Normal Distribution
plotTolIntNparDesign | Plots for a Sampling Design Based on a Nonparametric Tolerance Interval
plotTTestDesign | Plots for a Sampling Design Based on a One- or Two-Sample t-Test
plotTTestLnormAltDesign | Plots for a Sampling Design Based on a One- or Two-Sample t-Test, Assuming Lognormal Data
pnormMix | Mixture of Two Normal Distributions
pnormTrunc | The Truncated Normal Distribution
pointwise | Pointwise Confidence Limits for Predictions
Power and Sample Size | EnvStats Functions for Power and Sample Size Calculations
Power and Sample Size Calculations | EnvStats Functions for Power and Sample Size Calculations
Power t-test | Power of a One- or Two-Sample t-Test
power t-test | Power of a One- or Two-Sample t-Test
ppareto | The Pareto Distribution
ppointsCensored | Plotting Positions for Type I Censored Data
predict | Model Predictions
predict.default | Model Predictions
predict.lm | Predict Method for Linear Model Fits
Prediction Intervals | EnvStats Functions for Prediction Intervals
predIntGamma | Prediction Interval for Gamma Distribution
predIntGammaAlt | Prediction Interval for Gamma Distribution
predIntGammaAltSimultaneous | Simultaneous Prediction Interval for a Gamma Distribution
predIntGammaSimultaneous | Simultaneous Prediction Interval for a Gamma Distribution
predIntLnorm | Prediction Interval for a Lognormal Distribution
predIntLnormAlt | Prediction Interval for a Lognormal Distribution
predIntLnormAltSimultaneous | Simultaneous Prediction Interval for a Lognormal Distribution
predIntLnormAltSimultaneousTestPower | Probability That at Least One Set of Future Observations Violates the Given Rule Based on a Simultaneous Prediction Interval for a Lognormal Distribution
predIntLnormAltTestPower | Probability That at Least One Future Observation Falls Outside a Prediction Interval for a Lognormal Distribution
predIntLnormSimultaneous | Simultaneous Prediction Interval for a Lognormal Distribution
predIntNorm | Prediction Interval for a Normal Distribution
predIntNormHalfWidth | Half-Width of a Prediction Interval for the next k Observations from a Normal Distribution
predIntNormK | Compute the Value of K for a Prediction Interval for a Normal Distribution
predIntNormN | Sample Size for a Specified Half-Width of a Prediction Interval for the next k Observations from a Normal Distribution
predIntNormSimultaneous | Simultaneous Prediction Interval for a Normal Distribution
predIntNormSimultaneousK | Compute the Value of K for a Simultaneous Prediction Interval for a Normal Distribution
predIntNormSimultaneousTestPower | Probability That at Least One Set of Future Observations Violates the Given Rule Based on a Simultaneous Prediction Interval for a Normal Distribution
predIntNormTestPower | Probability That at Least One Future Observation Falls Outside a Prediction Interval for a Normal Distribution
predIntNpar | Nonparametric Prediction Interval for a Continuous Distribution
predIntNparConfLevel | Confidence Level for Nonparametric Prediction Interval for Continuous Distribution
predIntNparN | Sample Size for a Nonparametric Prediction Interval for a Continuous Distribution
predIntNparSimultaneous | Nonparametric Simultaneous Prediction Interval for a Continuous Distribution
predIntNparSimultaneousConfLevel | Confidence Level of Simultaneous Nonparametric Prediction Interval for Continuous Distribution
predIntNparSimultaneousN | Sample Size for Simultaneous Nonparametric Prediction Interval for Continuous Distribution
predIntNparSimultaneousTestPower | Probability That at Least One Set of Future Observations Violates the Given Rule Based on a Nonparametric Simultaneous Prediction Interval
predIntPois | Prediction Interval for a Poisson Distribution
print.boxcox | Print Output of Objective for Box-Cox Power Transformations
print.boxcoxCensored | Print Output of Objective for Box-Cox Power Transformations Based on Type I Censored Data
print.boxcoxLm | Print Output of Objective for Box-Cox Power Transformations for an "lm" Object
print.distChoose | Print Output of Goodness-of-Fit Tests
print.distChooseCensored | Print Output of Goodness-of-Fit Tests
print.estimate | Print Objects of Class "estimate"
print.estimateCensored | Print Objects of Class "estimateCensored"
print.gof | Print Output of Goodness-of-Fit Tests
print.gofCensored | Print Output of Goodness-of-Fit Tests Based on Censored Data
print.gofGroup | Print Output of Group Goodness-of-Fit Tests
print.gofOutlier | Print Output of Goodness-of-Fit Outlier Tests
print.gofTwoSample | Print Output of Two-Sample Goodness-of-Fit Tests
print.htestCensored | Print Output of Hypothesis Tests Based on Censored Data
print.htestEnvStats | Print Output of Hypothesis Tests
print.permutationTest | Print Output of Permutation Tests
print.summaryStats | Print Summary Statistics
Printing and Plotting Methods | EnvStats Functions for Printing and Plotting Objects of Various S3 Classes
Probability Density | Plot Probability Density Function
Probability Distributions | EnvStats Probability Distributions and Random Numbers
Probability Distributions and Random Numbers | EnvStats Probability Distributions and Random Numbers
propTestMdd | Minimal Detectable Difference Associated with a One- or Two-Sample Proportion Test
propTestN | Compute Sample Size Necessary to Achieve a Specified Power for a One- or Two-Sample Proportion Test
propTestPower | Compute the Power of a One- or Two-Sample Proportion Test
ProUCL.Crit.Vals.for.AD.Test.for.Gamma.array | ProUCL Critical Values for Anderson-Darling Goodness-of-Fit Test for Gamma Distribution
ProUCL.Crit.Vals.for.KS.Test.for.Gamma.array | ProUCL Critical Values for Kolmogorov-Smirnov Goodness-of-Fit Test for Gamma Distribution
ptri | The Triangular Distribution
pwMoment | Estimate Probability-Weighted Moments
pzmlnorm | The Zero-Modified Lognormal (Delta) Distribution
pzmlnormAlt | The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization)
pzmnorm | The Zero-Modified Normal Distribution

## -- Q --

qchi | The Chi Distribution
qemp | The Empirical Distribution Based on a Set of Observations
qevd | The Extreme Value (Gumbel) Distribution
qgammaAlt | The Gamma Distribution (Alternative Parameterization)
qgevd | The Generalized Extreme Value Distribution
qlnorm3 | The Three-Parameter Lognormal Distribution
qlnormAlt | The Lognormal Distribution (Alternative Parameterization)
qlnormMix | Mixture of Two Lognormal Distributions
qlnormMixAlt | Mixture of Two Lognormal Distributions (Alternative Parameterization)
qlnormTrunc | The Truncated Lognormal Distribution
qlnormTruncAlt | The Truncated Lognormal Distribution (Alternative Parameterization)
qnormMix | Mixture of Two Normal Distributions
qnormTrunc | The Truncated Normal Distribution
qpareto | The Pareto Distribution
qqPlot | Quantile-Quantile (Q-Q) Plot
qqPlotCensored | Quantile-Quantile (Q-Q) Plot for Type I Censored Data
qqPlotGestalt | Develop Gestalt of Q-Q Plots for Specific Distributions
qtri | The Triangular Distribution
quantileTest | Two-Sample Rank Test to Detect a Shift in a Proportion of the "Treated" Population
quantileTestPValue | Compute p-Value for the Quantile Test
qzmlnorm | The Zero-Modified Lognormal (Delta) Distribution
qzmlnormAlt | The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization)
qzmnorm | The Zero-Modified Normal Distribution

## -- R --

rchi | The Chi Distribution
Refinery.CO.df | Carbon Monoxide Emissions from Oil Refinery.
remp | The Empirical Distribution Based on a Set of Observations
revd | The Extreme Value (Gumbel) Distribution
rgammaAlt | The Gamma Distribution (Alternative Parameterization)
rgevd | The Generalized Extreme Value Distribution
rlnorm3 | The Three-Parameter Lognormal Distribution
rlnormAlt | The Lognormal Distribution (Alternative Parameterization)
rlnormMix | Mixture of Two Lognormal Distributions
rlnormMixAlt | Mixture of Two Lognormal Distributions (Alternative Parameterization)
rlnormTrunc | The Truncated Lognormal Distribution
rlnormTruncAlt | The Truncated Lognormal Distribution (Alternative Parameterization)
rnormMix | Mixture of Two Normal Distributions
rnormTrunc | The Truncated Normal Distribution
Rosner | Rosner's Test for Outliers
rosnerTest | Rosner's Test for Outliers
rpareto | The Pareto Distribution
rtri | The Triangular Distribution
rzmlnorm | The Zero-Modified Lognormal (Delta) Distribution
rzmlnormAlt | The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization)
rzmnorm | The Zero-Modified Normal Distribution

## -- S --

sample kurtosis | Coefficient of (Excess) Kurtosis
serial correlation | Test for the Presence of Serial Correlation
serial correlation test | Test for the Presence of Serial Correlation
serialCorrelationTest | Test for the Presence of Serial Correlation
serialCorrelationTest.default | Test for the Presence of Serial Correlation
serialCorrelationTest.lm | Test for the Presence of Serial Correlation
sign test | One-Sample or Paired-Sample Sign Test on a Median
signTest | One-Sample or Paired-Sample Sign Test on a Median
simulateMvMatrix | Simulate a Multivariate Matrix Based on a Specified Rank Correlation Mat
simulateVector | Simulate a Vector of Random Numbers From a Specified Theoretical or Empirical Probability Distribution
Skagit.NH3_N.df | Ammonia Nitrogen Concentrations in the Skagit River, Marblemount, Washington
Skew | Coefficient of Skewness
skew | Coefficient of Skewness
Skewness | Coefficient of Skewness
skewness | Coefficient of Skewness
stat_mean_sd_text | Add Text Indicating the Mean and Standard Deviation to a ggplot2 Plot
stat_median_iqr_text | Add Text Indicating the Median and Interquartile Range to a ggplot2 Plot
stat_n_text | Add Text Indicating the Sample Size to a ggplot2 Plot
stat_test_text | Add Text to a ggplot2 Plot Indicating the Results of a Hypothesis Test
stripChart | 1-D Scatter Plots with Confidence Intervals
stripChart.default | 1-D Scatter Plots with Confidence Intervals
stripChart.formula | 1-D Scatter Plots with Confidence Intervals
Summary Plots | EnvStats Functions for Summary Statistics and Plots
Summary Statistics | EnvStats Functions for Summary Statistics and Plots
summaryFull | Full Complement of Summary Statistics
summaryFull.data.frame | Full Complement of Summary Statistics
summaryFull.default | Full Complement of Summary Statistics
summaryFull.factor | Full Complement of Summary Statistics
summaryFull.formula | Full Complement of Summary Statistics
summaryFull.list | Full Complement of Summary Statistics
summaryFull.matrix | Full Complement of Summary Statistics
summaryStats | Summary Statistics
summaryStats.character | Summary Statistics
summaryStats.data.frame | Summary Statistics
summaryStats.default | Summary Statistics
summaryStats.factor | Summary Statistics
summaryStats.formula | Summary Statistics
summaryStats.list | Summary Statistics
summaryStats.logical | Summary Statistics
summaryStats.matrix | Summary Statistics
summaryStats.object | S3 Class "summaryStats"

## -- T --

T-test power | Power of a One- or Two-Sample t-Test
t-test Power | Power of a One- or Two-Sample t-Test
t-test power | Power of a One- or Two-Sample t-Test
Three Parameter Lognormal | The Three-Parameter Lognormal Distribution
Tolerance Intervals | EnvStats Functions for Tolerance Intervals
tolIntGamma | Tolerance Interval for a Gamma Distribution
tolIntGammaAlt | Tolerance Interval for a Gamma Distribution
tolIntLnorm | Tolerance Interval for a Lognormal Distribution
tolIntLnormAlt | Tolerance Interval for a Lognormal Distribution
tolIntLnormCensored | Tolerance Interval for a Lognormal Distribution Based on Censored Data
tolIntNorm | Tolerance Interval for a Normal Distribution
tolIntNormCensored | Tolerance Interval for a Normal Distribution Based on Censored Data
tolIntNormHalfWidth | Half-Width of a Tolerance Interval for a Normal Distribution
tolIntNormK | Compute the Value of K for a Tolerance Interval for a Normal Distribution
tolIntNormN | Sample Size for a Specified Half-Width of a Tolerance Interval for a Normal Distribution
tolIntNpar | Nonparametric Tolerance Interval for a Continuous Distribution
tolIntNparConfLevel | Confidence Level for Nonparametric Tolerance Interval for Continuous Distribution
tolIntNparCoverage | Coverage for Nonparametric Tolerance Interval for Continuous Distribution
tolIntNparN | Sample Size for Nonparametric Tolerance Interval for Continuous Distribution
tolIntPois | Tolerance Interval for a Poisson Distribution
Total.P.df | Total Phosphorus Data from Chesapeake Bay
Trend Analysis | EnvStats Functions for Trend Analysis
Triangular | The Triangular Distribution
tTestAlpha | Type I Error Level for a One- or Two-Sample t-Test
tTestLnormAltN | Sample Size for a One- or Two-Sample t-Test, Assuming Lognormal Data
tTestLnormAltPower | Power of a One- or Two-Sample t-Test Assuming Lognormal Data
tTestLnormAltRatioOfMeans | Minimal or Maximal Detectable Ratio of Means for One- or Two-Sample t-Test, Assuming Lognormal Data
tTestN | Sample Size for a One- or Two-Sample t-Test
tTestPower | Power of a One- or Two-Sample t-Test
tTestScaledMdd | Scaled Minimal Detectable Difference for One- or Two-Sample t-Test
twoSampleLinearRankTest | Two-Sample Linear Rank Test to Detect a Difference Between Two Distributions
twoSampleLinearRankTestCensored | Two-Sample Linear Rank Test to Detect a Difference Between Two Distributions Based on Censored Data
twoSamplePermutationTestLocation | Two-Sample or Paired-Sample Randomization (Permutation) Test for Location
twoSamplePermutationTestProportion | Randomization (Permutation) Test to Compare Two Proportions (Fisher's Exact Test)

## -- V --

varGroupTest | Test for Homogeneity of Variance Among Two or More Groups
varGroupTest.data.frame | Test for Homogeneity of Variance Among Two or More Groups
varGroupTest.default | Test for Homogeneity of Variance Among Two or More Groups
varGroupTest.formula | Test for Homogeneity of Variance Among Two or More Groups
varGroupTest.list | Test for Homogeneity of Variance Among Two or More Groups
varGroupTest.matrix | Test for Homogeneity of Variance Among Two or More Groups
varTest | One-Sample Chi-Squared Test on Variance

## -- Z --

Zero Modified Lognormal | The Zero-Modified Lognormal (Delta) Distribution
Zero Modified Lognormal (Alternative Parameterization) | The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization)
Zero Modified Lognormal (Delta) | The Zero-Modified Lognormal (Delta) Distribution
Zero Modified Normal | The Zero-Modified Normal Distribution
Zero-Modified Lognormal | The Zero-Modified Lognormal (Delta) Distribution
Zero-Modified Lognormal (Alternative Parameterization) | The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization)
Zero-Modified Lognormal (Delta) | The Zero-Modified Lognormal (Delta) Distribution
Zero-Modified Normal | The Zero-Modified Normal Distribution
ZeroModifiedLognormal | The Zero-Modified Lognormal (Delta) Distribution
ZeroModifiedLognormalAlt | The Zero-Modified Lognormal (Delta) Distribution (Alternative Parameterization)
ZeroModifiedNormal | The Zero-Modified Normal Distribution
zTestGevdShape | Test Whether the Shape Parameter of a Generalized Extreme Value Distribution is Equal to 0