A Knowledge Synthesis Method for Weibull Distribution Estimation with Four Right-Censored Life Data

In the situation of product reliability estimation that all the observations available are right-censored, three-parameter Weibull distribution is applied to describe product life. A new way is presented to estimate Weibull location parameter according to four right-censored life data. Based on the property of normal distribution, the knowledge on product life distribution, and Monte Carlo simulation result, a non-parametric estimation method is applied to estimate Weibull location parameter. By an example, it is demonstrated that using three-parameter Weibull distribution is evidently better than using two-parameter Weibull distribution.