On the rate of convergence in the central limit theorem and the type of the Banach space

WanSoo Rhee

Statistics & Probability Letters, 1984, vol. 2, issue 2, 59-62

Abstract: Let E be a Banach space. Let [xi] be a sequence of which goes to zero. Let X be a centered E-valued random variable, which is bounded. Let Sn be the sum of n independent copies of X. Assume that whenever X satisfies the CLT, we have. where [mu] is the (Gaussian) limit of the laws of Sn. Then E is type 2.

Keywords: central; limit; theorem; Banach; space; type; 2; space (search for similar items in EconPapers)
Date: 1984
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