1989International Journal of Stochastic AnalysisOpen access

On the nonexistence of a law of the iterated logarithm for weighted sums of identically distributed random variables

André Adler

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Abstract

For weighted sums of independent and identically distributed random variables, conditions are placed under which a generalized law of the iterated logarithm cannot hold, thereby extending the usual nonweighted situation.

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What this paper is about

For weighted sums of independent and identically distributed random variables, conditions are placed under which a generalized law of the iterated logarithm cannot hold, thereby extending the usual nonweighted situation.

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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

For weighted sums of independent and identically distributed random variables, conditions are placed under which a generalized law of the iterated logarithm cannot hold, thereby extending the usual nonweighted situation.

Key concepts: Mathematics, Independent and identically distributed random variables, Law of the iterated logarithm, Iterated logarithm, Logarithm, Iterated function, Random variable, Pure mathematics

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