oigbeta {mbbefd}

One-inflated generalized beta of the first kind (GB1)) distribution

Description

These functions perform probabilistic analysis as well as random sampling on one-inflated GB1 distribution.

Usage

doigbeta(x, shape0, shape1, shape2, p1, log=FALSE)
poigbeta(q, shape0, shape1, shape2, p1, lower.tail = TRUE, log.p = FALSE)
qoigbeta(p, shape0, shape1, shape2, p1, lower.tail = TRUE, log.p = FALSE)
roigbeta(n, shape0, shape1, shape2, p1)
ecoigbeta(x, shape0, shape1, shape2, p1)
moigbeta(order, shape0, shape1, shape2, p1)
tloigbeta(shape0, shape1, shape2, p1)

Arguments

x, q

vector of quantiles.

p

vector of probabilities.

n

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

p1, shape0, shape1, shape2

shape parameters.

order

order of the raw moment.

log, log.p

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

lower.tail

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

Details

d,p,q,ec,m,tl-oigbeta functions computes the density function, the distribution function, the quantile function, the exposure curve function, raw moments and total loss of the one-inflated GB1 distribution. roigbeta generates random variates of this distribution.

Value

A numeric value or a vector.

Author(s)

Dutang Christophe

See Also

mbbefd-distr and oidistribution.

Examples

#density
curve(doigbeta(x, 3, 2, 3, 1/3), n=200)

#cdf
curve(poigbeta(x, 3, 2, 3, 1/3), n=200)