Estimating Stress-Strength Model for Weighted Lomax Distribution

M. M. E. Abd El-Monsef; Ghareeb A. Marei; N. M. Kilany

doi:10.9734/ajpas/2021/v12i230283

Research Article Open access CC BY 4.0

Estimating Stress-Strength Model for Weighted Lomax Distribution

M. M. E. Abd El-Monsef, Ghareeb A. Marei, N. M. Kilany

Asian Journal of Probability and Statistics · pp. 19–31 · Published 17 Apr 2021

10.9734/ajpas/2021/v12i230283

Abstract

This paper aims to estimate the stress-strength reliability parameter when and are follow the weighted Lomax (WL) distribution. The behavior of stress-strength parameters and reliability have been studied by using maximum likelihood and Bayesian estimators through the Monte Carlo simulation study which carried out showing satisfactory performance of the estimators obtained. Finally, two real data sets representing waiting times before service of the customers of two banks A and B are fitted using the WL distribution and used to estimate the stress-strength parameters and reliability function.

Weighted Lomax distribution stress-strength reliability maximum likelihood estimates Bayes estimates

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M. M. E. Abd El-Monsef, Ghareeb A. Marei, N. M. Kilany (2021). Estimating Stress-Strength Model for Weighted Lomax Distribution. Asian Journal of Probability and Statistics , 19–31. https://doi.org/10.9734/ajpas/2021/v12i230283

Affiliations

M. M. E. Abd El-Monsef — Faculty of Science, Tanta University, Egypt.
Ghareeb A. Marei — Higher Institute of Computer and Information Technology, El- Shrouk Academy, Egypt.
N. M. Kilany — Faculty of Science, Menoufia University, Egypt.

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