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Using BBPSO Algorithm to Estimate the Weibull Parameters with Censored Data
Authors:Fu-Kwun Wang
Affiliation:1. Department of Industrial Management, National Taiwan University of Science and Technology, Taipei, Taiwanfukwun@mail.ntust.edu.tw
Abstract:This article proposes the maximum likelihood estimates based on bare bones particle swarm optimization (BBPSO) algorithm for estimating the parameters of Weibull distribution with censored data, which is widely used in lifetime data analysis. This approach can produce more accuracy of the parameter estimation for the Weibull distribution. Additionally, the confidence intervals for the estimators are obtained. The simulation results show that the BB PSO algorithm outperforms the Newton–Raphson method in most cases in terms of bias, root mean square of errors, and coverage rate. Two examples are used to demonstrate the performance of the proposed approach. The results show that the maximum likelihood estimates via BBPSO algorithm perform well for estimating the Weibull parameters with censored data.
Keywords:Aximum likelihood estimation  Bare bones particle swarm optimization  Censored data  Weibull distribution.
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