Name
Title | ||
|---|---|---|
Increasing directionally convex orderings of random vectors having the same copula, and their use in comparing ordered data |
Abstract | ||
|---|---|---|
In this paper, we establish some results for the increasing convex comparisons of generalized order statistics. First, we prove that if the minimum of two sets of generalized order statistics are ordered in the increasing convex order, then the remaining generalized order statistics are also ordered in the increasing convex order. This result is extended to the increasing directionally convex comparisons of random vectors of generalized order statistics. For establishing this general result, we first prove a new result in that two random vectors with a common conditionally increasing copula are ordered in the increasing directionally convex order if the marginals are ordered in the increasing convex order. This latter result is, of course, of interest in its own right. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.jmva.2011.08.017 | J. Multivariate Analysis |
Keywords | Field | DocType |
convex order,remaining generalized order statistic,new result,convex comparison,generalized order statistic,directionally convex comparison,latter result,general result,directionally convex order,random vector,directionally convex ordering,copulas | Combinatorics,Convex combination,Convex set,Convex hull,Subderivative,Convex polytope,Proper convex function,Statistics,Convex optimization,Convex analysis,Mathematics | Journal |
Volume | Issue | ISSN |
105 | 1 | 0047-259X |
Citations | PageRank | References |
6 | 0.82 | 9 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Narayanaswamy Balakrishnan | 1 | 291 | 38.95 |
| Félix Belzunce | 2 | 36 | 6.76 |
| Miguel A. Sordo | 3 | 8 | 3.09 |
| A. Suárez-Llorens | 4 | 15 | 4.24 |