On Some Stochastic Ordering Comparisons for Renewal Processes

Ghosh, Suman Kalyan and Ravi, S. (2024) On Some Stochastic Ordering Comparisons for Renewal Processes. Asian Journal of Probability and Statistics, 26 (4). pp. 66-79. ISSN 2582-0230

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Abstract

After a brief introduction to ordinary renewal process, we have defined compound renewal process generated by an ordinary renewal process followed by the distributional properties of the corresponding random variables. A few results are obtained by comparing independent renewal processes with respect to several stochastic orderings between the generating inter-arrival time random variables, like, stochastic order, hazard rate order, likelihood ratio order and variability order, as well as some ageing classes of the generating random variables. Some numerical illustrations are given. The results obtained here appear to be new.

Item Type: Article
Subjects: GO for STM > Mathematical Science
Depositing User: Unnamed user with email support@goforstm.com
Date Deposited: 24 Apr 2024 06:15
Last Modified: 24 Apr 2024 06:15
URI: http://archive.article4submit.com/id/eprint/2797

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