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Incomplete statistics and nonextensive generalization of statistical mechanics

Qiuping A. Wang
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Abstract

Statistical mechanics is generalized on the basis of an information theory for inexact or incomplete probability distributions. A parameterized normalization is proposed and leads to a nonextensive entropy. The resulting incomplete statistical mechanics is proved to have the same theoretical characteristics as Tsallis one based on the conventional normalization.

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Qiuping A. Wang. 2002-01-14. Incomplete statistics and nonextensive generalization of statistical mechanics. https://doi.org/10.1016/s0960-0779(00)00113-2

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