Stochastic Orderings between Two Finite Mixtures with Inverted-Kumaraswamy Distributed Components

Raju Bhakta, Pradip Kundu, Suchandan Kayal () and Morad Alizadeh
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Raju Bhakta: Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, Odisha, India
Pradip Kundu: School of Computer Science and Engineering, XIM University, Bhubaneswar 752050, Odisha, India
Suchandan Kayal: Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, Odisha, India
Morad Alizadeh: Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr 75169, Iran

Mathematics, 2024, vol. 12, issue 6, 1-20

Abstract: In this paper, we consider two finite mixture models (FMMs) with inverted-Kumaraswamy distributed components’ lifetimes. Several stochastic ordering results between the FMMs are obtained. Mainly, we focus on three different cases in terms of the heterogeneity of parameters. The usual stochastic order between the FMMs is established when heterogeneity presents in one parameter as well as two parameters. In addition, we also study ageing faster order in terms of the reversed hazard rate between two FMMs when heterogeneity is in two parameters. For the case of heterogeneity in three parameters, we obtain the comparison results based on reversed hazard rate and likelihood ratio orders. The theoretical developments are illustrated using several examples and counterexamples.

Keywords: FMMs; stochastic orders; weak supermajorization; weak submajorization; matrix majorization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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