Some Limit Behavior of Order Statistics With Variable Ranks
Barakat, H., El-Shandidy, M. (1990). Some Limit Behavior of Order Statistics With Variable Ranks. EKB Journal Management System, 34(2), 420-435. doi: 10.21608/esju.1990.315051
H.M Barakat; M.A. El-Shandidy. "Some Limit Behavior of Order Statistics With Variable Ranks". EKB Journal Management System, 34, 2, 1990, 420-435. doi: 10.21608/esju.1990.315051
Barakat, H., El-Shandidy, M. (1990). 'Some Limit Behavior of Order Statistics With Variable Ranks', EKB Journal Management System, 34(2), pp. 420-435. doi: 10.21608/esju.1990.315051
Barakat, H., El-Shandidy, M. Some Limit Behavior of Order Statistics With Variable Ranks. EKB Journal Management System, 1990; 34(2): 420-435. doi: 10.21608/esju.1990.315051

Some Limit Behavior of Order Statistics With Variable Ranks

The Egyptian Statistical Journal
Article 11, Volume 34, Issue 2, December 1990, Pages 420-435    PDF (5.61 M)
Document Type: Original Article
DOI: 10.21608/esju.1990.315051
Authors
H.M Barakat* 1; M.A. El-Shandidy2
1Dep.of Mathematics, Faculty of Science, Zagazig University, Egypt
2Dep.of Mathematics, Faculty of Science, Alexandria University, Egypt
Abstract
In the present investigation we prove that any sequence of order statistics, with nondecreasing variable rank sequence, is mixing in the sense of Renyi. This result is applied to investigate, under general conditions, the weak convergence of the normalized intermediate order statistics with random sample size.
Keywords
Weak convergence; order statistics; intermediate order statistic; sample of random size
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