๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Lp-Convergence of Conditional U-Statistics

โœ Scribed by W. Stute

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
355 KB
Volume
51
Category
Article
ISSN
0047-259X

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper we derive almost sure convergence of kernel-type conditional (U)-statistics in (p) th mean under mild conditions on the smoothing parameter. An application to discrimination is discussed in detail. (C) 1994 Academic Press. Inc.

๐Ÿ“œ SIMILAR VOLUMES

Lp-Continuity of Conditional Expectation
Lp-Continuity of Conditional Expectations
โœ Alberto Alonso; Fernando Brambila-Paz ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 213 KB

A necessary and sufficient condition on a sequence n nโˆˆN of ฯƒ-subalgebras that assures L p -convergence of the conditional expectations is given. This result generalizes the L p -martingales, the Fetter and the Boylan (equiconvergence) theorems.

Martingale Convergence of Generalized Co
Martingale Convergence of Generalized Conditional Expectations
โœ L. Accardi; R. Longo ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 394 KB

We prove that the martingale convergence theorem for generalized conditional expectations in von Neumann algebras holds in the weak topology without restrictions. The situation is therefore different fom the strong topology case, where there are restrictive conditions which distinguish between incre