mc2d (version 0.1-17)

triangular: The Triangular Distribution

Description

Density, distribution function, quantile function and random generation for the triangular distribution with minimum equal to min, mode equal mode and maximum equal to max.

Usage

dtriang(x, min=-1, mode=0, max=1, log=FALSE)
ptriang(q, min=-1, mode=0, max=1, lower.tail=TRUE, log.p=FALSE)
qtriang(p, min=-1, mode=0, max=1, lower.tail=TRUE, log.p=FALSE)
rtriang(n, min=-1, mode=0, max=1)

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.

min

vector of minima.

mode

vector of modes.

max

vector of maxima.

log, log.p

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

lower.tail

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

Value

dtriang gives the density, ptriang gives the distribution function, qtriang gives the quantile function, and rtriang generates random deviates.

Details

For the case of u := min == mode == max, there is no density in that case and dtriang will return NaN (the error condition) (Similarity with dunif).

Examples

curve(dtriang(x, min=3, mode=5, max=10), from = 2, to = 11)
##no density when min == mode == max
dtriang(c(1, 2, 3), min=2, mode=2, max=2)