Forthcoming

Stochastic Orders on the Univariate Unified Skew Normal Family of Distributions

Accepted - January 2024

Authors

  • Souhila Merabet University of Science and Technology Houari Boumediene
  • Rabah Messaci University of Science and Technology Houari Boumediene

Keywords:

unified skew-normal distribution, extended skew-normal distribution, stochastic orders, selection distribution, logconcavity

Abstract

The family of Unified Skew Normal distributions is associated with probability distributions encountered in various problems, notably those of the selection of individuals in a normal population. In this work, we focus on the ordering of the real subfamily of this class of distributions with respect to its parameters and for some stochastic orders (usual order, increasing convex order, increasing concave order and likelihood ratio order). Our results are applied to a reliability problem as well as a selection problem.

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Published

2024-01-25

How to Cite

Merabet, S., & Messaci, R. (2024). Stochastic Orders on the Univariate Unified Skew Normal Family of Distributions: Accepted - January 2024. REVSTAT-Statistical Journal. Retrieved from https://revstat.ine.pt/index.php/REVSTAT/article/view/659

Issue

new article

Section

Forthcoming Paper

License

Copyright (c) 2024 REVSTAT-Statistical Journal

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This work is licensed under a Creative Commons Attribution 4.0 International License.