pk_order_glg: Cumulative Probability Distribution of a K-th Order Statistic...

In sglg: Fitting Semi-Parametric Generalized log-Gamma Regression Models

Cumulative Probability Distribution of a K-th Order Statistic from a Generalized Log-gamma Distribution

Description

pk_order_glg is used to obtain the cumulative probability distribution of the k-th order statistic from a generalized log-gamma distribution.

Usage

pk_order_glg(x, mu = 0, sigma = 1, lambda = 1, k, n)

Arguments

x	numeric, represents a real value.
mu	numeric, represents the location parameter. Default value is 0.
sigma	numeric, represents the scale parameter. Default value is 1.
lambda	numeric, represents the shape parameter. Default value is 1.
k	numeric, represents the K-th smallest value from a sample.
n	numeric, represents the size of the sample of the generalized log-gamma distribution.

Value

A list of values of the cumulative probability function of the k-th order statistic from a generalized log-gamma distribution.

Author(s)

Carlos Alberto Cardozo Delgado <[e-mail]>.

References

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

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

# The cumulative probability distribution of 10-th order statistics at 0
# from a random sample of extreme value distribution with n=20.
pk_order_glg(0,0,1,1,k=10,n=20)

sglg documentation built on Nov. 28, 2025, 1:06 a.m.