Estimating Stress-Strength Model for Weighted Lomax Distribution
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.
*Author to whom correspondence should be addressed.
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.
Keywords: Weighted Lomax distribution, stress-strength reliability, maximum likelihood estimates, Bayes estimates