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Title: | On Comparison of Renewal and Trend Renewal Processes With Respect to Stochastic Orderings |
Authors: | Ravi, S Ghosh, Suman Kalyan |
Keywords: | Hazard Rate Ordering Likelihood Ratio Ordering Renewal Process Stochastic Ordering Trend Renewal Process Variability Ordering |
Issue Date: | 2024 |
Publisher: | Asian Journal of Statistical Sciences ARF India |
Citation: | Vol. 4, No. 1; pp. 23-31 |
Abstract: | Trend renewal processes (TRPs) were introduced by Lindqvist (1993) as a time-transformed renewal process. After a brief introduction to TRPs with possibly some new results, independent ordinary renewal processes (ORPs) and TRPs are com-pared with respect to some stochastic orderings between the generating inter-arrival time random variables, like, the usual stochastic order, hazard rate order, likelihood ratio order and variability order, and on the basis of the trend function. Some illustrations are given. © 2024, ARF India. All rights reserved. |
URI: | https://doi.org/10.9734/ajpas/2024/v26i4609 https://gnanaganga.inflibnet.ac.in:8443/jspui/handle/123456789/16856 |
ISSN: | 2582-9912 |
Appears in Collections: | Journal Articles |
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