Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1154071 | Statistics & Probability Letters | 2009 | 8 Pages |
Abstract
This paper investigates weak convergence of UU-statistics via approximation in probability. The classical condition that the second moment of the kernel of the underlying UU-statistic exists is relaxed to having 43 moments only (modulo a logarithmic term). Furthermore, the conditional expectation of the kernel is only assumed to be in the domain of attraction of the normal law (instead of the classical two-moment condition).
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Masoud M. Nasari,