Statistical inference for stress-strength reliability using inverse Lomax lifetime distribution with mechanical engineering applications-Reference-Cited by-同舟云学术

Statistical inference for stress-strength reliability using inverse Lomax lifetime distribution with mechanical engineering applications

Published:2022 Issue:Spec. issue 1 Volume:26 Page:303-326
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Tolba Ahlam¹,Ramadan Dina¹,Almetwally Ehab²,Jawa Taghreed³,Sayed-Ahmed Neveen⁴

Affiliation:

1. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

2. Department of Statistics, Faculty of Business Administration,Delta university for Science and Technology, Egypt

3. Department of Mathematics, College of Science, Taif University, Saudi Arabia

4. Statistics Department, Faculty of Commerce (Girl Branch), Al-Azhar University, Cairo, Egypt

Abstract

The inverse Lomax distribution has been extensively used in many disciplines, including stochastic modelling, economics, actuarial sciences, and life testing. It is among the most recognizable lifetime models. The purpose of this research is to look into a new and important aspect of the inverse Lomax distribution: the calculation of the fuzzy stress-strength reliability parameter RF = P(Y < X), as?suming X and Y are random independent variables that follow the inverse Lomax probability distribution. The properties of structural for the proposed reliability model are studied along with the Bayesian estimation methods, maximum product of the spacing and maximum likelihood. Extensive simulation studies are achieved to explore the performance of the various estimates. Subsequently, two sets of real data are considered to highlight the practicability of the model.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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