Dispersive order comparisons on extreme order statistics from homogeneous dependent random vectors-Reference-Cited by-同舟云学术

Dispersive order comparisons on extreme order statistics from homogeneous dependent random vectors

Published:2021-01-01 Issue:1 Volume:9 Page:385-393
ISSN:2300-2298
Container-title:Dependence Modeling
language:en
Short-container-title:

Author:

Mesfioui Mhamed¹,Trufin Julien²

Affiliation:

1. Département de mathématiques et d’informatique , Université du Québec à Trois-Rivières , Trois-Rivières (Québec) , Canada G9A 5H7

2. Department of Mathematics , Université Libre de Bruxelles (ULB) , Bruxelles , Belgium

Abstract

Abstract In this paper, we investigate sufficient conditions for preservation property of the dispersive order for the smallest and largest order statistics of homogeneous dependent random vectors. Moreover, we establish sufficient conditions for ordering with the dispersive order the largest order statistics from dependent homogeneous samples of different sizes.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Link

https://www.degruyter.com/document/doi/10.1515/demo-2021-0118/pdf

Reference21 articles.

1. [1] Balakrishnan N. and C.R. Rao (1998). Order Statistics: Theory and Methods. Elsevier, New York.

2. [2] Balakrishnan N. and C.R. Rao (1998). Order Statistics: Applications. Elsevier, New York.

3. [3] David H.A. and H.N. Nagaraja (2003). Order Statistics. Third edition. Wiley, New York.

4. [4] Boland P.J., E. El-Neweihi and F. Proschan (1994). Applications of the hazard rate ordering in reliability and order statistics. J. Appl. Probab. 31(1), 180–192.

5. [5] J. Appl. Probab. Raqab M.Z. and W.A. Amin (1996). Some ordering results on order statistics and record values. IAPQR Transactions 21, 1–8.

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