NSBeta function

Non-standard beta distribution

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.

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.

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)

See Also

Beta