Convergence rates for generalized descents
Summary: \(d\)-descents are permutation statistics that generalize the notions of descents and inversions. It is known that the distribution of \(d\)-descents of permutations of length \(n\) satisfies a central limit theorem as \(n\) goes to infinity. We provide an explicit formula for the mean and variance of these statistics and obtain bounds on the rate of convergence using Stein's method.
scientific article; zbMATH DE number 6012340