Multivariate stochastic comparisons of sequential order statistics with non-identical components

Tanmay Sahoo, Nil Kamal Hazra () and Narayanaswamy Balakrishnan
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Tanmay Sahoo: Indian Institute of Technology Jodhpur
Nil Kamal Hazra: Indian Institute of Technology Jodhpur
Narayanaswamy Balakrishnan: McMaster University

Statistical Papers, 2024, vol. 65, issue 7, No 13, 4365-4404

Abstract: Abstract Sequential order statistics (SOS) are useful tools for modeling the lifetimes of systems wherein the failure of a component has a significant impact on the lifetimes of the remaining surviving components. The SOS model is a general model that contains most of the existing models for ordered random variables. In this paper, we consider the SOS model with non-identical components and then discuss various univariate and multivariate stochastic comparison results in both one-and two-sample scenarios.

Keywords: Sequential k-out-of-n system; Sequential order statistics; Stochastic orders; Primary 90B25; Secondary 60E15; 60K10 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00362-024-01558-w

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