Estimation under a finite mixture of modified Weibull distributions based on censored data via EM algorithm with application

Abstract

In this paper, the maximum likelihood estimates (MLE's) of the parameters of a finite mixture of modified Weibull (MW (alpha, beta, gamma)) distributions are obtained based on type-I and type-II censored samples using the EM algorithm. A simulation study is carried out to study the behavior of the mean squared errors. A real data set is introduced and analyzed using a mixture of two MW distributions and also using a mixture of two Weibull (alpha, beta)distributions. A comparison is carried out between the mentioned mixtures based on the corresponding Kolmogorov-Smirnov (K-S) test statistic to emphasize that the MW mixture model fits the data better than the other mixture model.

Keywords

• Modified Weibull Distribution
• Maximum likelihood estimation
• EM algorithm
• Finite mixture models
• Weibull distribution
• type-I censoring