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Threshold Results for U-Statistics of Dependent Binary Variables

Becker, Niels; Utev, Sergey


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
Source: Journal of Theoretical Probability
DOI: 10.1023/A:1007821131604


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