Relative Orderings of Modified Proportional Hazard Rates and Modified Proportional Reversed Hazard Rates Models

Mansour Shrahili; Mohamed Kayid; Mhamed Mesfioui

doi:10.20944/preprints202309.1558.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 21 September 2023 / Approved: 22 September 2023 / Online: 22 September 2023 (11:24:39 CEST)

In this paper, we identify several relative ordering properties of the modified proportional hazard rate and modified proportional reversed hazard rate models. For this purpose, we use two well-known relative orderings, namely the relative hazard rate ordering and the relative reversed hazard rate ordering. The investigation is to see how a relative ordering between two possible base distributions for the response distributions in these models is preserved when the parameters of the underlying models are changed. We will give some examples to illustrate the results and the conditions under which they are obtained.

proportional hazard rates, proportional reversed hazard rates, relative hazard rate order; relative reversed hazard rate order; stochastic order; relative aging

Computer Science and Mathematics, Probability and Statistics

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Relative Orderings of Modified Proportional Hazard Rates and Modified Proportional Reversed Hazard Rates Models

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