PiecewisePareto_PDF: Density of the Piecewise Pareto Distribution

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

Density of the Piecewise Pareto Distribution

Description

Calculates the density function of the piecewise Pareto distribution. This function is deprecated. Use dPiecewisePareto instead.

Usage

PiecewisePareto_PDF(x, t, alpha, truncation = NULL, truncation_type = "lp")

Arguments

x	Numeric. The function evaluates the density at x.
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

Density function of the piecewise Pareto distribution with parameter vectors t and alpha evaluated at x

Examples

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

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