Open Access

ARTICLE

Reliability Analysis of HEE Parameters via Progressive Type-II Censoring with Applications

Heba S. Mohammed¹, Mazen Nassar^2,3, Refah Alotaibi¹, Ahmed Elshahhat^4,*

1 Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia
2 Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia
3 Department of Statistics, Faculty of Commerce, Zagazig University, Zagazig, Egypt
4 Faculty of Technology and Development, Zagazig University, Zagazig, 44519, Egypt

* Corresponding Author: Ahmed Elshahhat. Email:

(This article belongs to the Special Issue: Application of Computer Tools in the Study of Mathematical Problems)

Computer Modeling in Engineering & Sciences 2023, 137(3), 2761-2793. https://doi.org/10.32604/cmes.2023.028826

Received 10 January 2023; Accepted 21 March 2023; Issue published 03 August 2023

Abstract

A new extended exponential lifetime model called Harris extended-exponential (HEE) distribution for data modelling with increasing and decreasing hazard rate shapes has been considered. In the reliability context, researchers prefer to use censoring plans to collect data in order to achieve a compromise between total test time and/or test sample size. So, this study considers both maximum likelihood and Bayesian estimates of the Harris extended-exponential distribution parameters and some of its reliability indices using a progressive Type-II censoring strategy. Under the premise of independent gamma priors, the Bayesian estimation is created using the squared-error and general entropy loss functions. Due to the challenging form of the joint posterior distribution, to evaluate the Bayes estimates, samples from the full conditional distributions are generated using Markov Chain Monte Carlo techniques. For each unknown parameter, the highest posterior density credible intervals and asymptotic confidence intervals are also determined. Through a simulated study, the usefulness of the various suggested strategies is assessed. The optimal progressive censoring plans are also shown, and various optimality criteria are investigated. Two actual data sets, taken from engineering and veterinary medicine areas, are analyzed to show how the offered point and interval estimators can be used in practice and to verify that the proposed model furnishes a good fit than other lifetime models namely: alpha power exponential, generalized-exponential, Nadarajah-Haghighi, Weibull, Lomax, gamma and exponential distributions. Numerical evaluations revealed that in the presence of progressively Type-II censored data, the Bayes estimation method against the squared-error (symmetric) loss is advised for getting the point and interval estimates of the HEE distribution.

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Keywords

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