Convergence Rate of the Dependent Bootstrapped Means

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چکیده

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On the Rate of Convergence of Bootstrapped Means in a Banach Space

We establish the complete convergence for arrays of Banach space valued random elements. This result is applied to bootstrapped means of random elements to obtain their strong consistency and is derived in the spirit of Baum-Katz/Hsu-Robbins/Spitzer type convergence. 2000 Mathematics Subject Classification. Primary 60B12; Secondary 60F15.

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ژورنال

عنوان ژورنال: Theory of Probability & Its Applications

سال: 2006

ISSN: 0040-585X,1095-7219

DOI: 10.1137/s0040585x97981688