Dispersive and star ordering of sample extremes from dependent random variables following the proportional odds model

Authors

Arindam Panja, Indian Statistical Institute, Kolkata
Pradip Kundu, Birla Global University
Biswabrata Pradhan, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Communications in Statistics - Theory and Methods

Abstract

Dispersive order is a type of variability order for comparing the variability in probability distributions. Star order compares the skewness of probability distributions. This work considers dispersive and star orders of extreme order statistics from dependent random variables following the proportional odds (PO) model. The joint distribution of the random variables is modeled with Archimedean copula. Numerical examples are provided to illustrate the findings.

First Page

6936

Last Page

6959

DOI

https://10.1080/03610926.2022.2037643

Publication Date

1-1-2023

Comments

Open Access, Green

Recommended Citation

Panja, Arindam; Kundu, Pradip; and Pradhan, Biswabrata, "Dispersive and star ordering of sample extremes from dependent random variables following the proportional odds model" (2023). Journal Articles. 4031.
https://digitalcommons.isical.ac.in/journal-articles/4031