Generalized bit- moments and cumulants based on discrete derivative

Details Generalized bit- moments and cumulants based on discrete derivative Generalized bit- moments and cumulants based on discrete derivative

2001-10-16

arxiv.org/abs/cond-mat/0110310v2

Phys. Lett. A 294 (2002) 292-296.

Physics

Condensed Matter

Statistical Mechanics

Latex 10 pages

Scientific paper

10.1016/S0375-9601(02)00142-1

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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