Local_Pareto_Alpha: Local Pareto Alpha

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

Local Pareto Alpha

Description

Calculates the local Pareto alpha of the normal, lognormal and gamma distribution

Usage

Local_Pareto_Alpha(x, distribution, ...)

Arguments

x	Numeric. Vector of thresholds at which the local Pareto alpha is calculated.
distribution	Character. 'lnorm' for lognormal distribution (arguments: meanlog, sdlog) 'norm' for normal distribution (arguments: mean, sd) 'gamma' for gamma distribution (arguments: shape, rate, scale) 'weibull' for Weibull distribution (arguments: shape, scale) 'exp' for exponential distribution (arguments: rate) 'Pareto' for Pareto distribution (arguments: t, alpha, truncation = NULL) 'GenPareto' for exp distribution (arguments: t, alpha_ini, alpha_tail, truncation = NULL) 'PiecewisePareto' for exp distribution (arguments: t, alpha, truncation = NULL, truncation_type = 'lp')
...	Arguments for the selected distribution

Value

Local Pareto alpha of the selected distribution at x

References

Riegel, U. (2008) Generalizations of common ILF models. Blaetter der DGVFM 29: 45–71

Examples

x <- 1:10 * 1e6
Local_Pareto_Alpha(x, "norm", mean = 5e6, sd = 2e6)
Local_Pareto_Alpha(x, "lnorm", meanlog = 0, sdlog = 4)
Local_Pareto_Alpha(x, "gamma", shape = 5, rate = 1e-6)
Local_Pareto_Alpha(x, "weibull", shape = 0.5, scale = 1e6)
Local_Pareto_Alpha(x, "exp", rate = 1e-6)
Local_Pareto_Alpha(x, "Pareto", t = 1e6, alpha = 1, truncation = 20e6)
Local_Pareto_Alpha(x, "GenPareto", t = 1e6, alpha_ini = 1, alpha_tail = 2)
Local_Pareto_Alpha(x, "PiecewisePareto", t = c(1e6, 3e6, 5e6), alpha = c(1, 2, 3),
                       truncation = 20e6, truncation_type = "wd")

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