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ORTHOGONAL EXPANSIONS AND U ‐STATISTICS
Author(s) -
Eagleson G. K.
Publication year - 1979
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1979.tb01141.x
Subject(s) - statistics , mathematics , multivariate statistics , sample (material) , physics , thermodynamics
Summary Lancaster's work on the orthogonal expansions of multivariate distributions is used to show how recent work on the asymptotic distribution of degenerate, two‐dimensional U ‐statistics can be extended to higher dimensional U ‐statistics, to the so‐called two‐sample case and to U ‐statistics based on a sample of dependent random variables.