Some results on increments of the partially observed empirical process

Author:
Zacharie Dindar

Journal:
Trans. Amer. Math. Soc. **353** (2001), 427-440

MSC (2000):
Primary 60F17; Secondary 62G07

DOI:
https://doi.org/10.1090/S0002-9947-00-02736-7

Published electronically:
October 23, 2000

MathSciNet review:
1804505

Full-text PDF

Abstract | References | Similar Articles | Additional Information

The author investigates the almost sure behaviour of the increments of the partially observed, uniform empirical process. Some functional laws of the iterated logarithm are obtained for this process. As an application, new laws of the iterated logarithm are established for kernel density estimators.

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Additional Information

**Zacharie Dindar**

Affiliation:
L.S.T.A., Université Paris VI, 45 rue Vineuse, 75016 Paris, France

Email:
dindar@ccr.jussieu.fr

DOI:
https://doi.org/10.1090/S0002-9947-00-02736-7

Keywords:
Empirical processes,
law of the iterated logarithm,
functional laws

Received by editor(s):
March 26, 1999

Received by editor(s) in revised form:
April 26, 2000

Published electronically:
October 23, 2000

Article copyright:
© Copyright 2000
American Mathematical Society