(1) Laboratory TIM 3, CNRS, IMAG, University of Grenoble, B.P. 53X, 38041, Grenoble Cedex, France;(2) Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, 6900 Heidelberg, FRG
Abstract:
The paper provides sufficient conditions for the asymptotic normality of statistics of the form aijbRiRj, whereaijandbijare real numbers andRiis a random permutation.