bernoulli: The Bernoulli Distribution

In mc2d: Tools for Two-Dimensional Monte-Carlo Simulations

The Bernoulli Distribution

Description

Density, distribution function, quantile function and random generation for the Bernoulli distribution with probability equals to ‘⁠prob⁠’.

Usage

dbern(x, prob=.5, log=FALSE)
pbern(q, prob=.5, lower.tail=TRUE, log.p=FALSE)
qbern(p, prob=.5, lower.tail=TRUE, log.p=FALSE)
rbern(n, prob=.5)

Arguments

x,q	vector of quantiles.
p	vector of probabilities.
n	number of observations. If ‘⁠length(n) > 1⁠’, the length is taken to be the number required.
prob	vector of probabilities of success of each trial.
log, log.p	logical; if ‘⁠TRUE⁠’, probabilities ‘⁠p⁠’ are given as ‘⁠log(p)⁠’.
lower.tail	logical; if ‘⁠TRUE⁠’ (default), probabilities are ‘⁠P[X <= x]⁠’, otherwise, ‘⁠P[X > x]⁠’.

Details

These functions use the corresponding functions from the binomial distribution with argument ‘⁠size = 1⁠’. Thus, 1 is for success, 0 is for failure.

Value

‘⁠dbern⁠’ gives the density, ‘⁠pbern⁠’ gives the distribution function, ‘⁠qbern⁠’ gives the quantile function, and ‘⁠rbern⁠’ generates random deviates.

See Also

Binomial

Examples

rbern(n=10, prob=.5)
rbern(n=3, prob=c(0, .5, 1))

mc2d documentation built on July 26, 2023, 6:07 p.m.