Exponential bounds for normal approximation of the number of descents and inversions

Wichairat Chuntee and Kritsana Neammanee

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 3, 1218-1229

Abstract: In this article, we study two well-known statistics, called descent and inversion. The normal approximation by Stein’s method has been considered. Polynomial non uniform bounds of such approximation were obtained by Chuntee and Neammanee in 2013. In this article, we sharpen the bound to the exponential growth by using Stein’s method and techniques from the work of Chen, Shao, and Fang in the same year.

Date: 2017
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DOI: 10.1080/03610926.2015.1014109

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