Stochastic comparisons of finite mixture models with generalized Lehmann distributed components

Abstract

Finite mixture models are useful for modeling lifetimes distribution of random samples arising from heterogeneous populations. In this work, we establish some stochastic comparison results for two finite mixtures models with components having generalized Lehmann distribution.

Keywords:

• Stochastic orders
• generalized Lehmann distribution
• finite mixture models
• multivariate chain majorization order

Acknowledgments

Our sincere thanks go to the reviewers for his/her useful comments and suggestions on an earlier version of this manuscript which led to this improved version. This Study has been conducted by University of Zabol, Grant number: UOZ-Gr: 9718-31.