Renyi entropies and Fisher informations as measures of nonextensivity in a Tsallis setting

被引：59

作者：

Pennini, F

Plastino, AR

Plastino, A

机构：

[1] Natl Univ La Plata, Fac Ciencias Astron & Geofis, RA-1900 La Plata, Argentina

[2] CONICET, Argentine Natl Res Ctr, RA-1033 Buenos Aires, DF, Argentina

来源：

PHYSICA A | 1998年 / 258卷 / 3-4期

关键词：

Renyi and Tsallis entropies; Fisher information; nonextensivity;

D O I：

10.1016/S0378-4371(98)00272-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study nonextensive statistical scenarios a la Tsallis with reference to Fisher's information and Renyi's entropy. A new way of evaluating Tsallis' generalized expectation values is examined within such a context, and is shown to lead to a much better Cramer-Rao bound than the customary procedure. A connection between the information measures of Fisher's and Renyi's is found. We show that Fisher's measure for translation families remains additive even in a non-extensive Tsallis setting. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：446 / 457

页数：12

共 47 条

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