Multivariate Normal Approximation by Stein's Method: The Concentration Inequality Approach

来源 :The Third IMS-China International Conference on Statistics a | 被引量 : 0次 | 上传用户:sii923
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  The concentration inequality approach for normal approximation by Steins method is generalized to multivariate setting.We use this approach to prove a multivariate normal approximation theorem for standardized sums of independent random vectors with an error bound of the order k1/2γ, where k is the dimension of the random vectors and γ is the sum of absolute third moments of the random vectors.
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