Stochastic Comparisons for Finite Mixtures from Location-scale Family of Distributions

Raju Bhakta (), Suchandan Kayal () and Maxim Finkelstein ()
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Raju Bhakta: National Institute of Technology Rourkela
Suchandan Kayal: National Institute of Technology Rourkela
Maxim Finkelstein: University of the Free State

Methodology and Computing in Applied Probability, 2024, vol. 26, issue 4, 1-33

Abstract: Abstract In this study, we consider two finite mixture models (FMMs) with location-scale family distributed components, in which ordering results are established in various stochastic senses. For heterogeneity in one parameter, the comparisons are obtained with respect to usual stochastic order, hazard rate order, reversed hazard rate order and likelihood ratio order. Further, for heterogeneity in two parameters, we derive sufficient conditions for the stochastic comparison of FMMs with respect to usual stochastic order and hazard rate order. Various examples and counterexamples are presented to illustrate the proposed results.

Keywords: Finite mixture models; Location-scale family; Stochastic orders; Majorization; T-transform matrix (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s11009-024-10121-x

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