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All Journal Operations Research: International Conference Series
Akmal, Fatahillah
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Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Mathematics

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Comparison of Maximum Likelihood Estimation and Median Rank Regression Methods in Weibull Distribution Parameter Estimation Timothy, Andreas; Akmal, Fatahillah
Operations Research: International Conference Series Vol. 6 No. 4 (2025): Operations Research International Conference Series (ORICS), December 2025
Publisher : Indonesian Operations Research Association (IORA)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/orics.v6i4.421

Abstract

The Weibull distribution is widely used in reliability analysis and risk management due to its flexibility in modeling failure patterns. This study aims to compare two methods for estimating Weibull distribution parameters, namely Maximum Likelihood Estimation (MLE) from Median Rank Regression (MRR). The data used consists of simulation data with varying parameters and sample sizes, as well as case study data.shock absorber dataset from the library weibulltools containing failure time and censored data. Parameter estimation with MLE is performed using the Newton–Raphson algorithm, while MRR is performed through linear transformation and regression. Performance evaluation is performed using bias measures and Mean Squared Error (MSE) on simulated data, as well as Kolmogorov–Smirnov and Anderson–Darling tests on case study data.
Co-Authors Timothy, Andreas