| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas, Dept Estat, BR-13083970 Campinas, SP - Brazil
[2] Univ N Carolina, Sch Publ Hlth, Dept Biostat & Stat & Operat Res, Chapel Hill, NC 27599 - USA
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS; v. 63, n. 6, p. 1165-1182, DEC 2011. |
| Web of Science Citations: | 3 |
| 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. (AU) | |
| FAPESP's process: | 09/14176-8 - Quasi U-statistics, wavelets and decomposability: asymptotics and applications |
| Grantee: | Aluísio de Souza Pinheiro |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 08/51097-6 - Time Series, Dependence Analysis and Applications |
| Grantee: | Pedro Alberto Morettin |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 08/09286-6 - An integrated approach to diversity analysis via U-statistics and quasi U-statistics |
| Grantee: | Aluísio de Souza Pinheiro |
| Support Opportunities: | Scholarships abroad - Research |