Multivariate hazard rate orders

Authors:
Taizhong Hu;Baha-Eldin Khaledi;Moshe Shaked
Affiliations:
Department of Statistics and Finance, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China;Department of Statistics, College of Sciences, Razi University, Kermanshah, Iran;Department of Mathematics, University of Arizona, Tucson, AZ
Venue:
Journal of Multivariate Analysis
Year:
2003

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Abstract

Two multivariate hazard rate stochastic orders are introduced and studied. Their meaning, properties, and relationship to other common stochastic orders are examined and investigated. Some examples that illustrate the theory are detailed. Finally, some applications of the new orders in reliability theory and in actuarial science are described.