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Reliability Estimation of Three Parameters Weibull Distribution based on Particle Swarm Optimization

Author(s)
Ghalia Twfeek Basheer . Department of Operations Research and Intelligent Techniques, University of Mosul,Mosul,Iraq
Zakariya Yahya Algamal . Department of Statistics and Informatics, University of Mosul,Mosul,Iraq
Abstract
The three-parameter Weibull distribution is a continuous distribution widely used in the study of reliability and life data. The estimation of the distribution parameters is an important problem that has received a lot of attention by researchers because of theirs effects in several measurements. In this research, we propose a particle swarm optimization (PSO) to estimate the three-parameter weibull distribution and then to estimate the reliability and hazard functions. The real data results indicate that our proposed estimation method is significantly consistent in estimation compared to the maximum likelihood method. In terms of -log likelihood and mean time to failure (MTTF)
Publication Details
Page(s) 35-42
DOI 10.18187/pjsor.v17i1.2354
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 1, Year: 2021

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Keywords
Reliability, Maximum Likelihood, 3-Parameter Weibull Distribution, Particle Swarm Optimization
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