On Estimation of Stress-Strength Model for Exponential Flexible Weibull Extension Distribution Based on <i>K</i>-Records
Ghareeb A. Marei, Hassan M. Aljohani, Fatimah M. Alghamdi, M. O. Mohamed
Abstract
In this paper, we consider an extension of the record model, which is well known as the K-record. For the Random Variables X and Y, the stress-strength parameter R = P(Y < X), and the EFWE distribution is applied, when the random variables X and Y approach the Exponential Flexible Weibull Extension (EFWE) distribution, which is an extension of the exponential flexible Weibull distribution. The behavior of stress-strength parameters and reliability have been estimated using the k-record data by using maximum likelihood and Bayesian estimators through the Monte Carlo simulation study, which showed satisfactory performance of the estimators. Finally, the stress-strength model of the EFWE distribution is utilized to analyze the actual data that shows the failure times of two distinct types of electrical insulators.