Titlebook: Normal Approximation by Stein’s Method; Louis H.Y. Chen,Larry Goldstein,Qi-Man Shao Textbook 2011 Springer-Verlag GmbH Berlin Heidelberg 2

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Louis H. Y. Chen,Larry Goldstein,Qi-Man Shao on the other hand, compared to non-Hispanic groups. Despite considerable attention in the literature, efforts to understand these aggregate trends are hindered by the complex heterogeneity in the Hispanic population. Prior work demonstrates the importance of disaggregating the Hispanic population b

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https://doi.org/10.1007/978-3-642-15007-460F05, 60B12, 62E17; Berry-Esseen bound, non-linear statistics; Stein’s method; exchangable pair, moder

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,Uniform and Non-uniform Bounds for Non-linear Statistics,oximated by a linear term plus a non-linear remainder. Applications include .-statistics, .-statistics and random sums. Randomized concentration inequalities are established in order to develop the theory necessary to cover these examples.