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A nonclassical LIL for sums of \(B\)-valued random variables when extreme terms are excluded - MaRDI portal

A nonclassical LIL for sums of \(B\)-valued random variables when extreme terms are excluded (Q2434147)

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A nonclassical LIL for sums of \(B\)-valued random variables when extreme terms are excluded
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    A nonclassical LIL for sums of \(B\)-valued random variables when extreme terms are excluded (English)
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    17 February 2014
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    The author proves a Klesov-Rosalsky-type nonclassical limit law for the trimmed sums of Banach-valued i.i.d. sequences, irrespective of their distribution function. The above results are of course unexpected -- in view of the classical Hartman-Winter law of large numbers.
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    Banach space
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    nonclassical law of the iterated logarithm
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    trimmed sums
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