# FcnsByCatProbDists: EnvStats Probability Distributions and Random Numbers In EnvStats: Package for Environmental Statistics, Including US EPA Guidance

## Description

Listed below are all of the probability distributions available in R and EnvStats. Distributions with a description in bold are new ones that are part of EnvStats. For each distribution, there are functions for generating: values for the probability density function, values for the cumulative distribution function, quantiles, and random numbers.

The data frame `Distribution.df` contains information about all of these probability distributions.

## Details

 Distribution Abbreviation Description `beta` Beta distribution. `binom` Binomial distribution. `cauchy` Cauchy distribution. `chi` Chi distribution. `chisq` Chi-squared distribution. `exp` Exponential distribution. `evd` Extreme value distribution. `f` F-distribution. `gamma` Gamma distribution. `gammAlt` Gamma distribution parameterized with mean and CV. `gevd` Generalized extreme value distribution. `geom` Geometric distribution. `hyper` Hypergeometric distribution. `logis` Logistic distribution. `lnorm` Lognormal distribution. `lnormAlt` Lognormal distribution parameterized with mean and CV. `lnormMix` Mixture of two lognormal distributions. `lnormMixAlt` Mixture of two lognormal distributions parameterized by their means and CVs. `lnorm3` Three-parameter lognormal distribution. `lnormTrunc` Truncated lognormal distribution. `lnormTruncAlt` Truncated lognormal distribution parameterized by mean and CV. `nbinom` Negative binomial distribution. `norm` Normal distribution. `normMix` Mixture of two normal distributions. `normTrunc` Truncated normal distribution. `pareto` Pareto distribution. `pois` Poisson distribution. `t` Student's t-distribution. `tri` Triangular distribution. `unif` Uniform distribution. `weibull` Weibull distribution. `wilcox` Wilcoxon rank sum distribution. `zmlnorm` Zero-modified lognormal (delta) distribution. `zmlnormAlt` Zero-modified lognormal (delta) distribution parameterized with mean and CV. `zmnorm` Zero-modified normal distribution.

In addition, the functions `evNormOrdStats` and `evNormOrdStatsScalar` compute expected values of order statistics from a standard normal distribution.

EnvStats documentation built on Oct. 10, 2017, 1:05 a.m.