Stochastic comparisons of two finite mixtures of general family of distributions

Bhakta, Raju; Majumder, Priyanka; Kayal, Suchandan; Balakrishnan, Narayanaswamy

doi:10.1007/s00184-023-00930-4

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Ordering Results For Mms When Heterogeneity Presents In Two ...1

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2024

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(3 citation statements)

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“…Proof. The proof is similar to that of the proof of Theorem 4.3 of [17]. Hence, it is not presented.…”

Section: Ordering Results For Mms When Heterogeneity Presents In Two ...mentioning

confidence: 96%

“…The authors have no conflicts of interest/competing interests to declare. Now, from Lemma 2.4 of [17], it can be shown that ψ(α) is Schur-convex with respect to α. Thus, the remaining proof of the theorem follows from Theorem 3.A.8 of [20], p. 87.…”

Section: Conflicts Of Interestmentioning

confidence: 99%

“…Very recently, Ref. [17] considered similar general parametric families of distributions as in [16] and then examined various ordering results with respect to the usual stochastic order, hazard rate order, and reversed hazard rate order between two FMMs.…”

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confidence: 99%

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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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“…Proof. The proof is similar to that of the proof of Theorem 4.3 of [17]. Hence, it is not presented.…”

Section: Ordering Results For Mms When Heterogeneity Presents In Two ...mentioning

confidence: 96%

Section: Conflicts Of Interestmentioning

confidence: 99%

See 1 more Smart Citation

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

Bhakta,

Kundu,

Kayal

et al. 2024

Mathematics

Self Cite

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show abstract

Stochastic comparisons of two finite mixtures of general family of distributions

Cited by 1 publication

References 20 publications

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

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

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