Stochastic comparisons between two finite $$\alpha $$ α -mixture models with general distributed components

Raju Bhakta () and Suchandan Kayal ()
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Raju Bhakta: National Institute of Technology Rourkela
Suchandan Kayal: National Institute of Technology Rourkela

Metrika: International Journal for Theoretical and Applied Statistics, 2025, vol. 88, issue 6, No 32, 1523-1539

Abstract: Abstract In this article, we establish sufficient conditions for stochastic comparisons of two finite $$\alpha $$ α -mixture models with respect to usual stochastic order when the mixing components have generalized family of distributions. The established sufficient conditions are mainly based on the p-larger order and reciprocally majorized order. The stochastic comparisons are studied when there is heterogeneity in one parameter as well as in two parameters. Further, the usual stochastic order between two finite $$\alpha $$ α -mixture models is also established based on the concept of unordered majorization order. To illustrate theoretical findings, relevant numerical examples and counterexamples are presented.

Keywords: Finite $$\alpha $$ α -mixture model; Usual stochastic order; p-larger order; Reciprocally majorized order; Matrix majorization; Unordered majorization order; 60E15; 90B25 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00184-025-00996-2

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