Open AccessReliability Estimation of Three Parameters Weibull Distribution based on Particle Swarm Optimization
Author(s) -
Zakariya Yahya Algamal,
Ghalia Basheer
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i1.2354
Subject(s) - weibull distribution , particle swarm optimization , reliability (semiconductor) , statistics , mathematics , estimation , maximum likelihood , mean time between failures , estimation theory , distribution (mathematics) , failure rate , mathematical optimization , engineering , power (physics) , mathematical analysis , physics , systems engineering , quantum mechanics
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).