A comparison of the parameter estimation methods for bimodal mixture Weibull distribution with complete data

Aydin Karakoca, Ulku Erisoglu and Murat Erisoglu

Journal of Applied Statistics, 2015, vol. 42, issue 7, 1472-1489

Abstract: Bimodal mixture Weibull distribution being a special case of mixture Weibull distribution has been used recently as a suitable model for heterogeneous data sets in many practical applications. The bimodal mixture Weibull term represents a mixture of two Weibull distributions. Although many estimation methods have been proposed for the bimodal mixture Weibull distribution, there is not a comprehensive comparison. This paper presents a detailed comparison of five kinds of numerical methods, such as maximum likelihood estimation, least-squares method, method of moments, method of logarithmic moments and percentile method (PM) in terms of several criteria by simulation study. Also parameter estimation methods are applied to real data.

Date: 2015
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DOI: 10.1080/02664763.2014.1000275

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