extraDistr (version 1.9.1)

NSBeta: Non-standard beta distribution

Description

Non-standard form of beta distribution with lower and upper bounds denoted as min and max. By default min=0 and max=1 what leads to standard beta distribution.

Usage

dnsbeta(x, shape1, shape2, min = 0, max = 1, log = FALSE)
pnsbeta(q, shape1, shape2, min = 0, max = 1, lower.tail = TRUE, log.p = FALSE)
qnsbeta(p, shape1, shape2, min = 0, max = 1, lower.tail = TRUE, log.p = FALSE)
rnsbeta(n, shape1, shape2, min = 0, max = 1)

Arguments

x, q

vector of quantiles.

shape1, shape2

non-negative parameters of the Beta distribution.

min, max

lower and upper bounds.

log, log.p

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

lower.tail

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

p

vector of probabilities.

n

number of observations. If length(n) > 1, the length is taken to be the number required.

See Also

Beta

Examples

x <- rnsbeta(1e5, 5, 13, -4, 8)
hist(x, 100, freq = FALSE)
curve(dnsbeta(x, 5, 13, -4, 8), -4, 6, col = "red", add = TRUE) 
hist(pnsbeta(x, 5, 13, -4, 8))
plot(ecdf(x))
curve(pnsbeta(x, 5, 13, -4, 8), -4, 6, col = "red", lwd = 2, add = TRUE)