Denker M. Asymptotic Distribution Theory in Nonparametric Statistics

Springer, 1985. — 204 p.Three basic types of statistics are treated in this book : Hoeffding's U-statistics, differentiable statistical functionals and statistics based on ranks. Although the emphasis lies on the asymptotic distribution theory for these statistics I intended to give some motivation from two viewpoints. The examples cover more than is needed for illustrations and each chapter contains some result on optimality properties. Last chapter on efficiency and contiguity may be regarded as an application of the results in the preceding chapters.