Estimation for the parameters of the q-Weibull distribution by maximum likelihood and Particle Swarm Optimization

2015 ◽  
pp. 1315-1322
Author(s):  
I Lins ◽  
E Droguett ◽  
R Filho ◽  
M Moura
Keyword(s):  
Particle Swarm Optimization ◽  
Maximum Likelihood ◽  
Weibull Distribution ◽  
Particle Swarm ◽  
Swarm Optimization

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

2021 ◽  
pp. 35-42
Author(s):  
Zakariya Y Algamal ◽  
Ghalia Basheer
Keyword(s):  
Particle Swarm Optimization ◽  
Weibull Distribution ◽  
Continuous Distribution ◽  
Estimation Method ◽  
Particle Swarm ◽  
Reliability Estimation ◽  
Likelihood Method ◽  
Time To Failure ◽  
Swarm Optimization ◽  
Hazard Functions

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). 

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