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.
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.
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