Jiraphan Suntornchost. A uniform bound in a combinatorial central limit theorem. Master's Degree(Mathematics). Chulalongkorn University. Office of Academic Resources. : Chulalongkorn University, 2003.
A uniform bound in a combinatorial central limit theorem
Abstract:
Let (Xij) be an nxn (n≥20) matrix of independent random variables with finite third moments and π = (π(1), π(2), , π(n)) be a random permutation of {1,2, ,n} such that π and Xijs are independent. In this study, we give a uniform bound in a combinatorial central limit theorem of Wn EWn/√VarWn where Wn = ∑ni=1 Xiπ(i) by using steins method.