Zero-inflated Weibull distribution

Density, distribution function, and random generation for the zero-inflated Weibull distribution.

Usage

dziweibull(x, shape, scale, zeroprob = 0, log = FALSE)

pziweibull(q, shape, scale, zeroprob = 0, lower.tail = TRUE, log.p = FALSE)

rziweibull(n, shape, scale, zeroprob = 0)

Arguments

x, q

vector of quantiles

shape

positive shape parameter

scale

positive scale parameter

zeroprob

zero-inflation probability between 0 and 1.

log, log.p

logical; if TRUE, probabilities/ densities \(p\) are returned as \(\log(p)\).

lower.tail

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

n

number of random values to return

Value

dziweibull gives the density, pziweibull gives the distribution function, and rziweibull generates random deviates.

Details

This implementation allows for automatic differentiation with RTMB.

Examples

x <- rziweibull(1, 1, 1, 0.5)
d <- dziweibull(x, 1, 1, 0.5)
p <- pziweibull(x, 1, 1, 0.5)