Article
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Reliability Analysis of Distorted Distributions using Aging Intensity Function
Version 1
: Received: 8 June 2024 / Approved: 10 June 2024 / Online: 10 June 2024 (13:51:09 CEST)
How to cite: Kayid, M.; Almohsen, R.; Kaabi, Z. Reliability Analysis of Distorted Distributions using Aging Intensity Function. Preprints 2024, 2024060587. https://doi.org/10.20944/preprints202406.0587.v1 Kayid, M.; Almohsen, R.; Kaabi, Z. Reliability Analysis of Distorted Distributions using Aging Intensity Function. Preprints 2024, 2024060587. https://doi.org/10.20944/preprints202406.0587.v1
Abstract
This paper presents the preservation property of the average intensity order and the preservation property of the monotonic average intensity classes under distorted distributions. Several sufficient conditions are given to get the preservation properties. It is shown that the imposed conditions are achievable as we examine in some examples. The preservation of the average intensity order and the preservation of the decreasing average intensity class under the structure of a parallel system with independent and identically distributed components' lifetime are made. A lower bound for the average intensity function of a random lifetime with an increasing failure rate in average distribution is derived. The results are applied to some semiparametric models as a particular standard family of distorted distribution.
Keywords
Semiparametric family; aging intensity; relative order; stochastic order; preservation
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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