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Generalized bit- moments and cumulants based on discrete derivative

R. S. Johal
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Abstract

We give a simple recipe based on the use of discrete derivative, to obtain generalized bit-moments obeying nonadditive statistics of Tsallis. The generalized bit-cumulants may be of two kinds, first which preserve the standard relations between moments and cumulants of a distribution, and are nonadditive with respect to independent subsystems. The second kind do not preserve usual moment-cumulant relations. These are additive in nature and Renyi entropy is naturally incorporated as the cumulant of order one.

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R. S. Johal. 2002-01-28. Generalized bit- moments and cumulants based on discrete derivative. https://doi.org/10.1016/s0375-9601(02)00142-1

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