Reliability estimation of three parameters gamma distribution via particle swarm optimization. (English) Zbl 1470.62039
Summary: Reliability analysis is considered as one of the most used approaches in various real data applications. Usually, the reliability function is based on a statistical distribution. The three-parameter gamma continuous distribution is a widely used in the study of reliability. A lot of attention has been considered on theirs parameter estimation. In this paper, a particle swarm optimization (PSO) is proposed to estimate the three-parameter gamma distribution and then to estimate the reliability and hazard functions. The real data results demonstrate that our proposed estimation method is considerably consistent in estimation compared to the maximum likelihood estimation method, in terms of log likelihood and mean time to failure (MTTF).
MSC:
| 62N05 | Reliability and life testing |
| 62F10 | Point estimation |
| 62E15 | Exact distribution theory in statistics |
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