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THE BOUNDED LAW OF THE ITERATED LOGARITHM FOR SEQUENCES OF BLOCKWISE INDEPENDENT RANDOM VARIABLES

Lê Vǎn Thành, Abdus Salam

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Abstract

For a sequence of blockwise independent random variables {Xn, n > 1}, conditions are provided to obtain the bounded law of the iterated logarithm. We consider two cases: the random variables {Xn, n > 1} are identically distributed and non-identically distributed.

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What this paper is about

For a sequence of blockwise independent random variables {Xn, n > 1}, conditions are provided to obtain the bounded law of the iterated logarithm. We consider two cases: the random variables {Xn, n > 1} are identically distributed and non-identically distributed.

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Available abstract

For a sequence of blockwise independent random variables {Xn, n > 1}, conditions are provided to obtain the bounded law of the iterated logarithm. We consider two cases: the random variables {Xn, n > 1} are identically distributed and non-identically distributed.

Key concepts: Independent and identically distributed random variables, Law of the iterated logarithm, Mathematics, Iterated logarithm, Logarithm, Random variable, Bounded function, Sequence (biology)

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