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The Beta Distribution

Source: R/standalone-distributions.R
pbeta2.Rd

Density, distribution function, quantile function and random generation for the Beta distribution with parameters shape1 and shape2 (and optional non-centrality parameter ncp).

Usage

pbeta2(q, prob, kappa, lower.tail = TRUE, log.p = FALSE)

Arguments

q

vector of quantiles

prob

the mean probability (vectorised)

kappa

a coefficient of variation. where 0 is no variability and 1 is maximally variability (vectorised)

lower.tail

logical; if TRUE (default), probabilities are P[X<=x] otherwise P[X>x].

log.p

logical; if TRUE, probabilities p are given as log(p).

Value

dbeta gives the density, pbeta the distribution function, qbeta the quantile function, and rbeta generates random deviates.

Invalid arguments will result in return value NaN, with a warning.

The length of the result is determined by n for rbeta, and is the maximum of the lengths of the numerical arguments for the other functions.

The numerical arguments other than n are recycled to the length of the result. Only the first elements of the logical arguments are used.

See also

stats::pbeta()

Examples

pbeta2(c(0.25,0.5,0.75), 0.5, 0.25)
#> [1] 0.0001270637 0.5000000000 0.9998729363