Some Reliability Estimates for Generalized Exponential Distribution with Presence of k-Outliers

Seyed Mahdi Mahmoudi; Reza Zarei

doi:10.57805/revstat.v20i1.358

Some Reliability Estimates for Generalized Exponential Distribution with Presence of k-Outliers

Authors

Seyed Mahdi Mahmoudi Semnan University https://orcid.org/0000-0002-3520-0382
Reza Zarei University of Guilan https://orcid.org/0000-0002-4636-4729

DOI:

https://doi.org/10.57805/revstat.v20i1.358

Keywords:

Bayes estimator, Bootstrap method, generalized exponential distribution, maximum likelihood estimator, Monte Carlo simulation, Outliers

Abstract

This paper studies the problem of parameters estimation for the two-parameter generalized exponential distribution in presence of outliers to estimate the reliability (R) as a measure of system performance. The maximum likelihood and Bayes estimators of R are obtained when the scale parameter λ is known and unknown. Monte Carlo simulations and Bootstap approach are performed to compare the different proposed methods.

Downloads

REVSTAT2022v20n1_1

Published

2022-02-01

How to Cite

Mahdi Mahmoudi, S., & Zarei , R. (2022). Some Reliability Estimates for Generalized Exponential Distribution with Presence of k-Outliers. REVSTAT-Statistical Journal, 20(1), 1–14. https://doi.org/10.57805/revstat.v20i1.358