Work

Dispersion and variation orders of extreme order statistics from dependent unit gamma Gompertz random variables

Year: 2025

Type: article

Abstract: Dispersive order is used to compare the variability in probability distributions, while star order is used to compare the skewness of probability distributions. In this paper, we discuss dispersive and star orders of the smallest and largest order statistics from dependent unit gamma Gompertz random variables. We also use the Archimedean copula for representing the joint distribution of the underlying random variables. Several numerical examples are presented in order to illustrate all the results established here.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03290-x

Authors: M. Shekari, Z. Pakdaman, G. Saadat Kia Barmalzan, N. Balakrishnan

Institutions: University of Hormozgan, Kermanshah University of Technology, McMaster University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W4409446358

FWCI: 4.178

Cites: 30

Cited by: 5

Related to: 10