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On stochastic comparisons of finite mixtures for some semiparametric families of distributions

Original Paper
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Abstract

In this paper, we consider the classical finite mixture model, which is an effective tool for modeling lifetime distributions for random samples from heterogeneous populations. We discuss new results on stochastic comparison for two finite mixtures when each of them is drawn from one of the following semiparametric families, i.e., proportional hazards, accelerated lifetime and proportional reversed hazards.

Keywords

Accelerated lifetime model Multivariate majorization orders Proportional hazards model Proportional reversed hazards model Stochastic orders 

Mathematics Subject Classification

60E15 

Notes

Acknowledgements

The authors are thankful to the Editor-in-Cheif and to the anonymous reviewers for their valuable constructive comments that lead to an improved version of the paper. The first author sincerely acknowledges the financial support from the Claude Leon Foundation, South Africa. The work of the second author was supported by the NRF (National Research Foundation of South Africa) Grant No. 103613.

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Copyright information

© Sociedad de Estadística e Investigación Operativa 2018

Authors and Affiliations

  1. 1.Department of Mathematical Statistics and Actuarial ScienceUniversity of the Free State, 339BloemfonteinSouth Africa
  2. 2.ITMO UniversitySaint PetersburgRussia

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