Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1146288 | Journal of Multivariate Analysis | 2012 | 10 Pages |
Abstract
In this paper, we consider random variables counting numbers of observations that fall into regions determined by extreme order statistics and Borel sets. We study multivariate asymptotic behavior of these random variables and express their joint limiting law in terms of independent multinomial and negative multinomial laws. First, we give our results for samples with deterministic size; next we explain how to generalize them to the case of randomly indexed samples.
► We consider numbers of observations in regions determined by extreme order statistics. ► We derive multivariate limit laws of these numbers. ► First, we give results for samples with deterministic size. ► Next we generalize them to the case of randomly indexed samples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
Anna Dembińska, George Iliopoulos,