Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1146867 | Journal of Multivariate Analysis | 2009 | 12 Pages |
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-UU-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
Aluísio Pinheiro, Pranab Kumar Sen, Hildete Prisco Pinheiro,