order_gpareto: Random Sampling of k-th Order Statistics from a Generalized... In orders: Sampling from k-th Order Statistics of New Families of Distributions

Description

`order_gpareto` is used to obtain a random sample of the k-th order statistic from a Generalized Pareto distribution and some associated quantities of interest.

Usage

 `1` ```order_gpareto(size, k, shape1, shape2, scale, n, alpha = 0.05, ...) ```

Arguments

 `size` numeric, represents the size of the sample. `k` numeric, represents the Kth smallest value from a sample. `shape1` numeric, represents a first shape parameter value. Must be strictly positive. `shape2` numeric, represents a second shape parameter value. Must be strictly positive. `scale` numeric, represents scale parameter values. Must be strictly positive. `n` numeric, represents the size of the sample to compute the order statistic from. `alpha` numeric, (1 - alpha) represents the confidence of an interval for the population median of the distribution of the k-th order statistic. Default value is 0.05. `...` represents others parameters of a Generalized Pareto distribution.

Value

A list with a random sample of order statistics from a Generalized Pareto Distribution, the value of its join probability density function evaluated in the random sample and a (1 - alpha) confidence interval for the population median of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.

Examples

 ```1 2 3``` ```library(orders) # A sample of size 10 of the 3-th order statistics from a Generalized Pareto Distribution order_gpareto(size=10,shape1=0.75,shape2=1,scale=0.5,k=3,n=50,alpha=0.02) ```

orders documentation built on July 17, 2021, 9:08 a.m.