Estimation of the Parameters of the Modified Weibull Distribution with Bathtub-shaped Failure Rate Function

Articles > Article · 2023

Authors: Adam Abdelrahman HUSSEIN ADAM, Hakan Savaş SAZAK

Pakistan Journal of Statistics and Operation Research, Journal Indexed in SCI Expanded, International, Scopus, 2023, vol 19, pp 765-776

DOI: 10.18187/pjsor.v19i4.4185

Summary

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.

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