Identifying the limiting distribution by a general approach of Stein’s method

A general exchange pair approach is developed to identify the limiting distribution for any sequence of random variables, by calculating the conditional mean and the conditional second moments. The error of approximation is also studied. In particular, a Berry-Esseen type bound of O(n-3/4) is obtain...

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Veröffentlicht in:	Science China. Mathematics 2016-12, Vol.59 (12), p.2379-2392
Hauptverfasser:	Shao, Qi-Man, Zhang, Zhuo-Song
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Approximation Constraining Critical temperature Curie temperature Error analysis Exchange Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Random variables
Online-Zugang:	Volltext
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