کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1146641 | 957522 | 2009 | 18 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Tests of independence among continuous random vectors based on Cramér–von Mises functionals of the empirical copula process Tests of independence among continuous random vectors based on Cramér–von Mises functionals of the empirical copula process](/preview/png/1146641.png)
A decomposition of the independence empirical copula process into a finite number of asymptotically independent sub-processes was studied by Deheuvels. Starting from this decomposition, Genest and Rémillard recently investigated tests of independence among random variables based on Cramér–von Mises statistics derived from the sub-processes. A generalization of Deheuvels’ decomposition to the case where independence is to be tested among continuous random vectors is presented. The asymptotic behavior of the resulting collection of Cramér–von Mises statistics is derived. It is shown that they are not distribution-free. One way of carrying out the resulting tests of independence then involves using the bootstrap or the permutation methodology. The former is shown to behave consistently, while the latter is employed in practice. Finally, simulations are used to study the finite-sample behavior of the tests.
Journal: Journal of Multivariate Analysis - Volume 100, Issue 6, July 2009, Pages 1137–1154