ABSTRACT
Let R N1, R N2, …, R NN denote a random permutation of the integers 1 through N, with each of the N! permutations being equally likely. In this section, we investigate the asymptotic distributions of sums of functions of the form () https://www.w3.org/1998/Math/MathML"> S N = ∑ J = 1 N z N j a N ( R N j ) , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315136288/c12c5089-77f8-4e14-84a1-364a5e26ae30/content/eq597.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>
