stpareto {mbbefd}

The shifted truncated Pareto distribution

Description

These functions perform probabilistic analysis as well as random sampling on the shifted truncated Pareto distribution.

Usage

dstpareto(x, a, log=FALSE)
pstpareto(q, a, lower.tail = TRUE, log.p = FALSE)
qstpareto(p, a, lower.tail = TRUE, log.p = FALSE)
rstpareto(n, a)
mstpareto(order, a)
ecstpareto(x, a)

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.

order

order of the raw moment.

a

shape parameter.

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

The distribution is based on the Pareto 2 truncated at 1. The distribution function is given by P(X<=x) = (1-(x+1)^(-a))/(1-2^(-a)).

Value

A numeric value or a vector.

Author(s)

Dutang Christophe

See Also

mbbefd-distr, exposureCurve

Examples

#density
curve(dstpareto(x, 3))

#cdf
curve(pstpareto(x, 3))