Thermal Science 2022 Volume 26, Issue Spec. issue 1, Pages: 303-326
https://doi.org/10.2298/TSCI22S1303T
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Statistical inference for stress-strength reliability using inverse Lomax lifetime distribution with mechanical engineering applications
Tolba Ahlam H. (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt)
Ramadan Dina A. (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt)
Almetwally Ehab M. (Department of Statistics, Faculty of Business Administration,Delta university for Science and Technology, Egypt)
Jawa Taghreed M. (Department of Mathematics, College of Science, Taif University, Saudi Arabia)
Sayed-Ahmed Neveen (Statistics Department, Faculty of Commerce (Girl Branch), Al-Azhar University, Cairo, Egypt), nevensayd@yahoo.com
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), assuming 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.
Keywords: inverse Lomax distribution, fuzzy reliability, real data, maximum likelihood, Bayes estimation, simulation
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