Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1150499 | Journal of Statistical Planning and Inference | 2008 | 11 Pages |
Abstract
In this paper, we discuss the limiting behavior of numbers of observations near an order statistic. We then derive an expression for the joint distribution of the numbers of observations that fall into the open right a-vicinity and left b-vicinity of kth and (n-r)th order statistics, respectively, from a sample of size n and establish the result that they are asymptotically independent under suitable conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Anna DembiÅska, N. Balakrishnan,