This paper presents a reliability analysis study of lifetime data based on Weibull and Lognormal distributions models. The main aim of this study is to compare two ﬁnite mixture distributions, Weibull mixture distribution (WMD) and Lognormal mixture distribution (LMD) for modelling heterogeneous survival data sets. This paper also provides the characterization of both WMD and LMD. A comparison of ﬁtted cumulative distribution functions, probability density functions, hazard functions, reliability functions and the mean lifetime is obtained for different distribution models. The expectation-maximization (EM) and Levenberg-Marquardt algorithms are used for estimating the parameters of these mixture models. The goodness of ﬁt is implemented by using different statistical methods such as the Kolmogorov-Smirnov (KS), Akaike’s Information Criteria (AIC) tests and correlation coefﬁcient to show the best ﬁt for modelling survival data. This study give engineers some guidance for selecting the appropriate distribution model.
Digital Object Identifier (DOI)
E. Elmahdy, Emad
"Modelling Reliability Data with Finite Weibull or Lognormal Mixture Distributions,"
Applied Mathematics & Information Sciences: Vol. 11:
4, Article 14.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss4/14