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Stochastic comparisons of second largest order statistics with dependent heterogeneous random variables.

Authors :
Guo, Man-Yuan
Zhang, Jiandong
Yan, Rongfang
Source :
Communications in Statistics: Theory & Methods. Aug2024, p1-19. 19p. 5 Illustrations.
Publication Year :
2024

Abstract

AbstractIn the context of actuarial science, the second largest claim amount is crucial to insurance analysis since they provide useful information for determining annual premium. In this article, we provide sufficient conditions of the second largest claim amounts arising from two sets of dependent and heterogeneous individual risk models according to various stochastic orders. It is first shown that the reversed hazard order between the occurrence probabilities vectors implies the reversed hazard order of the second largest claim amounts under certain conditions. Second, sufficient conditions are established for the usual stochastic ordering of the second largest claim amounts arising from heterogeneous dependent individual risk models under copula dependence. Finally, several examples illustrating the theoretical results are presented as well. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03610926
Database :
Academic Search Index
Journal :
Communications in Statistics: Theory & Methods
Publication Type :
Academic Journal
Accession number :
179409373
Full Text :
https://doi.org/10.1080/03610926.2024.2392858