Stochastic comparisons of finite mixture models with generalized Lehmann distributed components

Sattari, Mostafa; Barmalzan, Ghobad

doi:10.1080/03610926.2021.1880592

Communications in Statistics - Theory and Methods

2021

DOI: 10.1080/03610926.2021.1880592

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Stochastic comparisons of finite mixture models with generalized Lehmann distributed components

Mostafa Sattari

Ghobad Barmalzan

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2024

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Cited by 4 publications

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“…Ref. [12] investigated MMs with generalized Lehmann distributed components and presented several ordering outcomes. Ref.…”

mentioning

confidence: 99%

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

Bhakta,

Kundu,

Kayal

et al. 2024

Mathematics

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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.

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“…Ref. [12] investigated MMs with generalized Lehmann distributed components and presented several ordering outcomes. Ref.…”

mentioning

confidence: 99%

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

Bhakta,

Kundu,

Kayal

et al. 2024

Mathematics

View full text Add to dashboard Cite

show abstract

Stochastic comparisons of two finite mixtures of general family of distributions

Bhakta,

Majumder,

Kayal

et al. 2023

Metrika

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Stochastic comparison results between two finite mixture models with generalized Weibull distributed components

Bhakta,

Balakrishnan,

Kayal

et al. 2024

Statistics

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Stochastic comparisons of finite mixture models with generalized Lehmann distributed components

Cited by 4 publications

References 11 publications

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

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

Stochastic comparisons of two finite mixtures of general family of distributions

Stochastic comparison results between two finite mixture models with generalized Weibull distributed components

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