Artículos de revistas
A class of asymptotically normal degenerate quasi U-statistics
Registro en:
Annals Of The Institute Of Statistical Mathematics. Springer Heidelberg, v. 63, n. 6, n. 1165, n. 1182, 2011.
0020-3157
WOS:000294344800005
10.1007/s10463-010-0271-z
Autor
Pinheiro, A
Sen, PK
Pinheiro, HP
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. 63 6 1165 1182 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) FAPESP [08/51097-6, 08/09286-6, 09/14176-8] CNPq [306993/2008-2, 480919/2009-7, 306240/2009-2]