Bounds on Normal Approximations for the number of Descents and Inversions

Wichairat Chuntee and Kritsana Neammanee

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 11, 2310-2329

Abstract: In this article, we use Stein’s method to give non uniform bounds for normal approximation for the number of descents and inversions. Moreover, we also improve a constant on uniform bounds for normal approximation of those random variables in Fulman’s work in 2004. Our constants are 13.42 and 14.24, respectively.

Date: 2015
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DOI: 10.1080/03610926.2013.781642

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