Skip navigation
Skip navigation

Threshold Results for U-Statistics of Dependent Binary Variables

Becker, Niels; Utev, Sergey

Description

Large sample results for certain U-statistics, and related statistics, of binary dependent random variables are studied. The class of U-statistics include partial sums and polynomials of partial sums of a sequence of random variables. A very wide range of limit results are found. The form of the limit result can depend substantially on the magnitude of the appropriate normalizing sequence for the sum. Unexpectedly, the nature of the limit result also depends significantly on whether the degree...[Show more]

CollectionsANU Research Publications
Date published: 2001
Type: Journal article
URI: http://hdl.handle.net/1885/90803
Source: Journal of Theoretical Probability
DOI: 10.1023/A:1007821131604

Download

File Description SizeFormat Image
01_Becker_Threshold_Results_for_2001.pdf131.01 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  12 November 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator