A class of asymptotically normal degenerate quasi <Emphasis Type="Italic">U</Emphasis>-statistics |
| |
| Authors: | Aluísio Pinheiro Pranab Kumar Sen Hildete P Pinheiro |
| |
| Institution: | 1.Departamento de Estatística,Universidade Estadual de Campinas, Cidade Universitária Zeferino Vaz,Campinas,Brazil;2.Department of Biostatistics and Statistics and Operations Research,School of Public Health, UNC at Chapel Hill,Chapel Hill,USA |
| |
| 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
