# order_sinharcsinh: Random Sampling of k-th Order Statistics from a Sinh-Arcsinh... In orders: Sampling from k-th Order Statistics of New Families of Distributions

## Description

`order_sinharcsinh` is used to obtain a random sample of the k-th order statistic from a Sinh-Arcsinh Distribution and some associated quantities of interest.

## Usage

 `1` ```order_sinharcsinh(size, k, mu, sigma, nu, tau, n, alpha = 0.05, ...) ```

## Arguments

 `size` numeric, represents the size of the sample. `k` numeric, represents the Kth smallest value from a sample. `mu` numeric, represents the location parameter values. `sigma` numeric, represents scale parameter values. `nu` numeric, represents skewness parameter values `tau` numeric, represents kurtosis tau parameter values. `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 Sinh-Arcsinh distribution.

## Value

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

Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.

## Examples

 ```1 2 3``` ```library(orders) # A sample of size 10 of the 3-th order statistics from a Sinh-Arcsinh Distribution order_sinharcsinh(size=10,k=3,mu=0,sigma=1,nu=1,tau=2,n=30,alpha=0.02) ```

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