Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/52878
Type: Artigo de periódico
Title: A class of asymptotically normal degenerate quasi U-statistics
Author: Pinheiro, A
Sen, PK
Pinheiro, HP
Abstract: Some quasi U-statistics, unlike other variants of U-statistics, arising in distance based tests for homogeneity of groups, have first-order stationary kernels of degree 2, and yet they enjoy asymptotic normality under suitable hypotheses of invariance. Central limit theorems for a more general class of quasi U-statistics with possibly higher order stationarity (and degree) are formulated with the aid of appropriate martingale (array) characterizations as well as permutational invariance structures.
Subject: Genomics
Hamming distance
Martingale
Orthogonal system
Permutation measure
Second-order asymptotics
Higher order decomposability
Country: Alemanha
Editor: Springer Heidelberg
Rights: fechado
Identifier DOI: 10.1007/s10463-010-0271-z
Date Issue: 2011
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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