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arXiv 0709.3820cond-mat.stat-mech
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通向多元高斯密度的途径

A pathway to multivariate Gaussian density

H. J. Haubold, A. M. Mathai, S. Thomas

摘要:

本文介绍了一种称为“浓度椭球守恒”的一般原理,并在此原理下优化了α阶广义熵形式。它表明,这可以产生一个密度,可以作为一个途径,多元高斯密度。由此产生的熵路径包含作为特殊情况的玻尔兹曼-吉布斯(香农)和Tsallis(Havrda-Charvat)熵形式。

英文摘要:

A general principle called "conservation of the ellipsoid of concentration" is introduced and a generalized entropic form of order 'alpha' is optimized under this principle. It is shown that this can produce a density which can act as a pathway to multivariate Gaussian density. The resulting entropic pathway contains as special cases the Boltzmann-Gibbs (Shannon) and Tsallis (Havrda-Charvat) entropic forms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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