# order_fellerpareto: Random Sampling of k-th Order Statistics from a Feller-Pareto... In orders: Sampling from k-th Order Statistics of New Families of Distributions

## Description

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

## Usage

 ``` 1 2 3 4 5 6 7 8 9 10 11 12``` ```order_fellerpareto( size, k, min, shape1, shape2, shape3, scale, n, alpha = 0.05, ... ) ```

## Arguments

 `size` numeric, represents the size of the sample. `k` numeric, represents the Kth smallest value from a sample. `min` numeric, represents the lower bound of the support of the distribution. `shape1` numeric, represents a first shape parameter value. Must be strictly positive. `shape2` numeric, represents a second shape parameter value. Must be strictly positive. `shape3` numeric, represents a third 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 Feller-Pareto distribution.

## Value

A list with a random sample of order statistics from a Feller-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.

## 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 Feller-Pareto Distribution order_fellerpareto(size=10,min=0.5,shape1=0.75,shape2=1,shape3=1.25,scale=0.5,k=3,n=50,alpha=0.02) ```

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