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On multivariate order statistics: Asymptotic theory and computing moments
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
113-127
Authors:
Barakat, H. M, Nigm, E. M
Journal:
KUWAIT JOURNAL OF SCIENCE \& ENGINEERING ACADEMIC PUBLICATION COUNCIL
Volume:
39
Research Area:
Science \& Technology - Other Topics
ISSN
ISI:000307319000007
Keywords :
Weak convergence, multivariate order statistics, multivariate extremes, cross moments of order statistics, bootstrap estimates
Abstract:
In this paper, the exact explicit expression for the distribution function of the multivariate order statistics is derived. The advantage of this expression is its facility when one decides to pass to the limit as the sample size increases. The exact limit forms as well as the conditions by which this limit splits into the product of the limit marginals are obtained. In addition, an analytic bootstrap-type method for estimating the product moments (of any order) of multivariate order statistics is exhibited.
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