pcomppareto {CompPareto}

The cumulative distribution function (CDF) of a composite distribution with Pareto tail

Description

pcomppareto returns the CDF of a composite distribution with a Pareto upper tail at x, with a specified distribution at the lower tail.

Usage

pcomppareto(
  x,
  spec,
  alpha = 1,
  theta = 1,
  lower.tail = TRUE,
  log.p = FALSE,
  ...
)

Arguments

x

A scalar or vector of positive values at which the CDF needs to be evaluated

spec

The selection of the lower tail (head) distribution

alpha

The shape parameter of the Pareto distribution

theta

The scale parameter of Pareto, also serve as the location parameter of the composite model

lower.tail

logical; if FALSE, the upper tail probability is provided

log.p

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

...

The parameter of the lower tail (head) distribution

Value

an object of the same length of x as the CDF evaluated at x

Examples

x<-1:100
pcomppareto(x, "lnorm", 0.4, 1, meanlog = 1, sdlog = 0.8)
pcomppareto(x, "weibull", alpha = 1.5, theta = 1.5, shape = 2, scale = 2)