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Approximation of Nondegenerate U -Statistics

✍ Scribed by Korolyuk, V. S.; Borovskikh, Yu. V.


Book ID
118220590
Publisher
Society for Industrial and Applied Mathematics
Year
1986
Tongue
English
Weight
711 KB
Volume
30
Category
Article
ISSN
0040-585X

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Let U, be a second-degree, nondegenerate, zero mean U-statistic with a bounded kernel, scaled so that U,/v/n~N(O, a2). Large deviation approximations are developed for tail probabilities P(U, >xv/n) using a new explicit tilting procedure. (~) 1998 Elsevier Science B.V.