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Research Article | Open Access

Reliability and aging properties of novel nonparametric lifetime distribution classes

Mohamed Kayid( ), Mutairah Alanazi
Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Abstract

This paper introduces novel nonparametric classes of lifetime distributions characterized by the shape of the failure rate function. Particular reputable parametric distributions are examined to lie within these novel classes. Preservation property of one of these classes under order statistics is established. An empirical estimator of the failure rate ratio is proposed and in a simulation study, its attributes are explored. Then, a data set of strength of glass fibers is analyzed.

Keywords

failure rate functionempirical estimationrelative agingorder statisticsnonparametric classaging properties
CLC number: 62N05, 62G05, 62G30

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AIMS Mathematics
Volume 10 Issue 8,
August 2025
Pages 19693-19711
DOI: 10.3934/math.2025878

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Cite this article:
Kayid M, Alanazi M. Reliability and aging properties of novel nonparametric lifetime distribution classes. AIMS Mathematics, 2025, 10(8): 19693-19711. https://doi.org/10.3934/math.2025878

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Received: 05 July 2025
Revised: 06 August 2025
Accepted: 13 August 2025
Published: 15 August 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)