sglg (version 0.2.3)

dk_order_glg: Density Probability Distribution of a K-th Order Statistic from a Generalized Log-gamma Distribution

Description

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

Usage

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

Value

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

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.

Author

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