EnvStats Probability Distributions and Random Numbers
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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