A Maximal Entropy Distribution Derivation of the Sharma-Taneja-Mittal Entropic Form

Antonio M. Scarfone

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A Maximal Entropy Distribution Derivation of the Sharma-Taneja-Mittal Entropic Form

机译：Sharma-Taneja-Mittal熵形式的最大熵分布导数

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In this letter we derive the distribution maximizing the Sharma-Taneja-Mittal entropy under certain constrains by using an information inequality satisfied by the Bregman divergence associated to this entropic form. The resulting maximal entropy distribution coincides with the one derived from the calculus according to the maximal entropy principle d la Jaynes.

机译：在这封信中，我们使用与该熵形式相关的布雷格曼散度满足的信息不等式，得出在某些约束下最大化夏尔马-塔内贾-米塔尔熵的分布。所得的最大熵分布与根据最大熵原理d la Jaynes从演算推导出的最大熵分布一致。

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来源
《Open Systems & Information Dynamics》 |2018年第1期|1850002.1-1850002.11|共11页
作者
Antonio M. Scarfone;
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作者单位

Istituto dei Sistemi Complessi (ISC-CNR) c/o Politecnico di Torino Corso Duca degli Abruzzi 24, 10129 Torino, Italy;

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正文语种 eng
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Generalized entropic form; deformed logarithm and exponential; Bregman divergence;

机译：广义熵形式;对数和指数变形;布雷格曼散度;

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2. Modeling Non-Equilibrium Dynamics of a Discrete Probability Distribution: General Rate Equation for Maximal Entropy Generation in a Maximum-Entropy Landscape with Time-Dependent Constraints [J] . Gian Paolo Beretta Entropy . 2008,第3期

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3. Lie symmetries and related group-invariant solutions of a nonlinear Fokker-Planck equation based on the Sharma-Taneja-Mittal entropy [J] . A. M. Scarfone, T. Wada Brazilian journal of physics . 2009,第2Appa期

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5. Drop size and velocity distributions in sprays, a new approach based on the maximum entropy formalism. [D] . Sellens, Richard William. 1988

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6. Is the Voronoi Entropy a True Entropy? Comments on Entropy Shannon’s Measure of Information and Boltzmann’s H-Theorem Entropy 2017 19 48 [O] . Edward Bormashenko, Mark Frenkel, Irina Legchenkova 2019

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7. Family of probability distributions derived from maximal entropy principle with scale invariant restrictions [O] . Sonnino, Giorgio, Steinbrecher, György, Cardinali, Alessandro, 2013

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8. Axiomatic Derivation of the Principle of Maximum Entropy and the Principle of Minimum Cross-Entropy. [R] . shore, j. e. johnson, r. w. 1978

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A Maximal Entropy Distribution Derivation of the Sharma-Taneja-Mittal Entropic Form

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