Estimation of the Parameters of the Modified Weibull Distribution with Bathtub-shaped Failure Rate Function
-
Published:2023-12-06
Issue:
Volume:
Page:765-776
-
ISSN:2220-5810
-
Container-title:Pakistan Journal of Statistics and Operation Research
-
language:
-
Short-container-title:Pak.j.stat.oper.res.
Author:
Hussein Adam Adam Abdelrahman,
Sazak Hakan SavaÅŸORCID
Abstract
In this study, we propose two estimators called the 3-step MML and the combined estimators of the parameters of the modified Weibull distribution which is used in reliability models with bathtub-shaped failure rate function. The simulations show the superiority of both estimators over the graphical estimators. Particularly, the combined estimators are the better of the two. Two real-life data applications also show the superiority of the proposed estimators compared to the graphical estimators.
Publisher
Pakistan Journal of Statistics and Operation Research
Subject
Management Science and Operations Research,Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability