This article is cited in 1 paper

The Central Limit Theorem for Generalized Canonical von Mises Statistics

I. S. Borisov^a, L. A. Sakhanenko<sup>b

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b University of New Mexico

Abstract: We prove the central limit theorem for normalized von Mises statistics based on an array of degenerate kernel functions.

Key words: canonical von Mises and $U$-statistics, poissonization, point process, multiple stochastic integral.

UDC: 519.21

Received: 16.11.1999

 English version: Siberian Advances in Mathematics, 2000, 10:4, 1–14

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