A finitely additive version of the law of the iterated logarithm (LIL) is proposed. The formulation involves only finite-dimensional distributions of a sequence of independent random variables (X_n)_{n\ge 1}. It is also proved that in the case where one deals with σ-additive probabilities, the given result is equivalent to the classical version of the LIL.

A finitely additive version of the Law of the Iterated Logarithm

LIJOI, ANTONIO
2000

Abstract

A finitely additive version of the law of the iterated logarithm (LIL) is proposed. The formulation involves only finite-dimensional distributions of a sequence of independent random variables (X_n)_{n\ge 1}. It is also proved that in the case where one deals with σ-additive probabilities, the given result is equivalent to the classical version of the LIL.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11571/108849
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