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Cumulant Approach of Arbitrary Truncated Levy Flight

Dmitry V. Vinogradov

posted on 28 October 2010

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The problem of an arbitrary truncated Levy flight description using the method of cumulant approach has been solved. The set of cumulants of the truncated Levy distribution given the assumption of arbitrary truncation has been found. The influence of truncation shape on the truncated Levy flight properties in the Gaussian and the Levy regimes has been investigated.