2014•Unpublished venueRequires access

Strong law for the function of normalized sums and applications

Chen Chuan-yon

Abstract

The law of the iterated logarithm for the function of normalized sums of random variables is obtained. As its application, the law of the iterated logarithm for the products of sums of positive random variables is obtained. The corresponding law of single logarithm is also obtained for the array of independent and identically distributed random variables.

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Available abstract

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