A central limit theorem for a new statistic on permutations
Probability
2016-10-28 v4
Abstract
This paper does three things: It proves a central limit theorem for novel permutation statistics (for example, the number of descents plus the number of descents in the inverse). It provides a clear illustration of a new approach to proving central limit theorems more generally. It gives us an opportunity to acknowledge the work of our teacher and friend B. V. Rao.
Cite
@article{arxiv.1608.01666,
title = {A central limit theorem for a new statistic on permutations},
author = {Sourav Chatterjee and Persi Diaconis},
journal= {arXiv preprint arXiv:1608.01666},
year = {2016}
}
Comments
10 pages. To appear in a special issue of the Indian Journal of Pure and Applied Mathematics in honor of Professor B. V. Rao