FcnsByCatProbDists: EnvStats Probability Distributions and Random Numbers

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.

Arguments

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.