qPiecewisePareto: Quantile Function of the Piecewise Pareto Distribution

In Pareto: The Pareto, Piecewise Pareto and Generalized Pareto Distribution

Quantile Function of the Piecewise Pareto Distribution

Description

Calculates the quantile function of a piecewise Pareto distribution

Usage

qPiecewisePareto(p, t, alpha, truncation = NULL, truncation_type = "lp")

Arguments

p	Numeric. The function evaluates the quantile function at p.
t	Numeric vector. Thresholds of the piecewise Pareto distribution.
alpha	Numeric vector. alpha[i] is the Pareto alpha in excess of t[i].
truncation	Numeric. If truncation is not NULL and truncation > t, then the distribution is truncated at truncation.
truncation_type	Character. If truncation_type = "wd" then the whole distribution is truncated. If truncation_type = "lp" then a truncated Pareto is used for the last piece.

Value

Quantile function of the piecewise Pareto distribution with parameter vectors t and alpha evaluated at p

Examples

t <- c(1000, 2000, 3000)
alpha <- c(1, 1.5, 2)
p <- 0:10 * 0.1
qPiecewisePareto(p, t, alpha)
qPiecewisePareto(p, t, alpha, truncation = 5000, truncation_type = "lp")
qPiecewisePareto(p, t, alpha, truncation = 5000, truncation_type = "wd")

Pareto documentation built on April 18, 2023, 9:10 a.m.