Stochastic Orderings between Two Finite Mixtures with Inverted-Kumaraswamy Distributed Components
Autor: | Raju Bhakta, Pradip Kundu, Suchandan Kayal, Morad Alizadeh |
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Jazyk: | angličtina |
Rok vydání: | 2024 |
Předmět: | |
Zdroj: | Mathematics, Vol 12, Iss 6, p 852 (2024) |
Druh dokumentu: | article |
ISSN: | 12060852 2227-7390 |
DOI: | 10.3390/math12060852 |
Popis: | 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. |
Databáze: | Directory of Open Access Journals |
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