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

Description Usage Arguments Value Author(s) References Examples

order_pig is used to obtain a random sample of the k-th order statistic from a Poisson-inverse Gaussian distribution and some associated quantities of interest.

1	order_pig(size, k, mu, sigma, n, alpha = 0.05, ...)

`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.
`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 Poisson-inverse Gaussian distribution.

A list with a random sample of order statistics from a Poisson-inverse Gaussian 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.

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

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.

1
2
3

library(orders)
# A sample of size 10 of the 3-th order statistics from a Poisson-inverse Gaussian Distribution
# order_pig(size=20,k=5,mu=6,sigma=1,n=30,alpha=0.02)