Bootstrap likelihood ratio test for Weibull mixture models fitted to grouped data

Youjiao Yu and Jane L. Harvill

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 18, 4550-4568

Abstract: Weibull mixture models are widely used in a variety of fields for modeling phenomena caused by heterogeneous sources. We focus on circumstances in which original observations are not available, and instead the data comes in the form of a grouping of the original observations. We illustrate EM algorithm for fitting Weibull mixture models for grouped data and propose a bootstrap likelihood ratio test (LRT) for determining the number of subpopulations in a mixture model. The effectiveness of the LRT methods are investigated via simulation. We illustrate the utility of these methods by applying them to two grouped data applications.

Date: 2019
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DOI: 10.1080/03610926.2018.1494838

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