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Type: Artigo de periódico
Title: Decomposability of high-dimensional diversity measures: Quasi-U-statistics, martingales and nonstandard asymptotics
Author: Pinheiro, A
Sen, PK
Pinheiro, HP
Abstract: In analyses of complex diversity, especially that arising in genetics, genomics, ecology and other high-dimensional (and sometimes low-sample-size) data models, typically subgroup decomposability (analogous to ANOVA decomposability) arises. For group divergence of diversity measures in a high-dimension low-sample-size scenario, it is shown that Hamming distance type statistics lead to a general class of quasi-U-statistics having, under the hypothesis of homogeneity, a martingale (array) property, providing a key to the study of general (nonstandard) asymptotics. Neither the stochastic independence nor homogeneity of the marginal probability laws plays a basic role. A genomic MANOVA model is presented as an illustration. (C) 2009 Elsevier Inc. All rights reserved.
Subject: Categorical Data
Hamming distance
Orthogonal system
Permutation measure
Second-order asymptotics
Second-order decomposability
Country: EUA
Editor: Elsevier Inc
Citation: Journal Of Multivariate Analysis. Elsevier Inc, v. 100, n. 8, n. 1645, n. 1656, 2009.
Rights: fechado
Identifier DOI: 10.1016/j.jmva.2009.01.007
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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