distr-sfttrncPareto: The shifted truncated Pareto distribution

In mbbefd: Maxwell Boltzmann Bose Einstein Fermi Dirac Distribution and Destruction Rate Modelling

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))

mbbefd documentation built on Aug. 29, 2023, 1:06 a.m.