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An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the Erdös-Rényi law

Published online by Cambridge University Press:  15 August 2002

Hartmut Lanzinger*
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We prove a strong law of large numbers for moving averages of independent, identically distributed random variables with certain subexponential distributions. These random variables show a behavior that can be considered intermediate between the classical strong law and the Erdös-Rényi law. We further show that the difference from the classical behavior is due to the influence of extreme terms.

Research Article
© EDP Sciences, SMAI, 1998

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