THE BOUNDED LAW OF THE ITERATED LOGARITHM FOR SEQUENCES OF BLOCKWISE INDEPENDENT RANDOM VARIABLES
Lê Vǎn Thành, Abdus Salam
Abstract
Lê Vǎn Thành, Abdus Salam
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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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)