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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
Orthogonal system
Permutation measure
Second-order asymptotics
Higher order decomposability
Country: Alemanha
Editor: Springer Heidelberg
Citation: Annals Of The Institute Of Statistical Mathematics. Springer Heidelberg, v. 63, n. 6, n. 1165, n. 1182, 2011.
Rights: fechado
Identifier DOI: 10.1007/s10463-010-0271-z
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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