Work

On Estimation of Stress-Strength Model for Exponential Flexible Weibull Extension Distribution Based on K-Records

Year: 2025

Type: article

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.

Source: Contemporary Mathematics

DOI: 10.37256/cm.6220256450

Authors: Ghareeb A. Marei, Hassan M. Aljohani, Fatimah M. Alghamdi, M. O. Mohamed

Institutions: Egyptian Chinese University, Taif University, Princess Nourah bint Abdulrahman University, Zagazig University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409811509

FWCI: 6.099

Cites:

Cited by: 7

Related to: 10