10.7. Standard Probability Distributions¶
Functions for several probability distributions are provided as part of R. Some distribution are available in the global space. Additional distributions are available through some packages.
Each distribution has a name in R (e.g. norm, beta, t, f, etc.). For each distribution following functions are provided:
- Probability Density (Mass) Function (dnorm, dbeta, dt, df, etc.)
- Cumulative Distribution Function (pnorm, pbeta, , pt, pf, etc.)
- Quantile or Inverse Cumulative Distribution Function (qnorm, qbeta, qt, qf, etc.)
- Random Number Generator for the given distribution (rnorm, rbeta, rt, rf, etc.)
| Distribution | R name | Additional arguments |
|---|---|---|
| beta | beta | shape1, shape2, ncp |
| binomial | binom | size, prob |
| Cauchy | cauchy | location, scale |
| chi-squared | chisq | df, ncp |
| exponential | exp | rate |
| F | f | df1, df2, ncp |
| gamma | gamma | shape, scale |
| geometric | geom | prob |
| hypergeometric | hyper | m, n, k |
| log-normal | lnorm | meanlog, sdlog |
| logistic | logis | location, scale |
| negative binomial | nbinom | size, prob |
| normal | norm | mean, sd |
| Poisson | pois | lambda |
| signed rank | signrank | n |
| Student’s t | t | df, ncp |
| uniform | unif | min, max |
| Weibull | weibull | shape, scale |
| Wilcoxon | wilcox | m, n |