ORTHOGONAL EXPANSIONS AND U‐STATISTICS
Geoffrey K. Eagleson · Australian Journal of Statistics · 1979
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.