On the computing of the moments of bivariate order statistics |
| |
| Institution: | 1. Department of Statistics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics, Faculty of science, Alexandria University, Alexandria, Egypt;1. Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, China;2. The National University of Defense Technology, Changsha, China;3. Hunan University, Changsha, China;4. Naval Aviation University of China, Yantai, China;1. Telecommunication department, Supélec, Gif sur Yvette, France;2. Hong Kong University of Science and Technology, Hong Kong;1. Key Laboratory of Marine Environmental Monitoring and Information Processing, Harbin Institute of Technology, Harbin 150001, China;2. The 38th Research Institute of China Electronics Technology Group Corporation, Hefei 230088, China;1. Indiana University Purdue University at Indianapolis, Department of Mathematical Sciences Indianapolis, IN 46202-3267, USA;2. Department of Mathematical Sciences, Binghamton University, Binghamton, NY 13902-6000, USA |
| |
| Abstract: | In this paper, we establish general recurrence relations satisfied by the product moments (of any order) of bivariate order statistics from any arbitrary bivariate uniform distribution function. Moreover, we present formulae to easily compute the product moments (of any order) of bivariate order statistics from any arbitrary bivariate distribution function, with positive left endpoints, or with negative right endpoints. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
