On convergence of empirical point processes
A new approach to the study of asymptotic behavior of truncated sumsis proposed, where (An)[short up arrow] is an increasing sequence of sets and (Xi) are i.i.d. random vectors from the domain of attraction of a stable law. This approach is based on the investigation of weak convergence (more strong than usual) for empirical point processes associated with the vectors (Xi).
| Year of publication: |
2006
|
|---|---|
| Authors: | Davydov, Youri ; Egorov, Vladimir |
| Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 76.2006, 17, p. 1836-1844
|
| Publisher: |
Elsevier |
| Keywords: | Empirical processes Point processes Stable distributions Truncated sums Weak convergence |
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