Article ID Journal Published Year Pages File Type
1152806 Statistics & Probability Letters 2010 9 Pages PDF
Abstract
In this paper, we generalize results on asymptotic properties of numbers of iid observations falling into neighborhoods of order statistics in a sample of size n to the case of randomly indexed samples. We establish multivariate limiting distributions of random variables describing numbers of observations near randomly indexed order statistics and show under what conditions these random variables are asymptotically independent.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Authors
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