Geometry of escort distributions
نویسندگان
چکیده
منابع مشابه
Geometry of escort distributions.
Given an original distribution, its statistical and probabilistic attributes may be scanned using the associated escort distribution introduced by Beck and Schlögl and employed in the formulation of nonextensive statistical mechanics. Here, the geometric structure of the one-parameter family of the escort distributions is studied based on the Kullback-Leibler divergence and the relevant Fisher ...
متن کاملSuperstatistics, escort distributions, and applications
Superpositions of different statistics on different time or spatial scales (in short, superstatistics) can naturally lead to an effective description by nonextensive statistical mechanics. We first discuss the role of escort distributions within the superstatistical framework, and then briefly describe recent physical applications of this concept to turbulent and patttern forming systems.
متن کاملEscort–Husimi distributions, Fisher information and nonextensivity
We evaluate generalized information measures constructed with Husimi distributions and connect them with the Wehrl entropy, on the one hand, and with thermal uncertainty relations, on the other one. The concept of escort distribution plays a central role in such a study. A new interpretation concerning the meaning of the nonextensivity index q is thereby provided. A physical lower bound for q i...
متن کاملSource coding with escort distributions and Renyi entropy bounds
Article history: Received 20 May 2009 Received in revised form 2 July 2009 Accepted 7 July 2009 Available online 15 July 2009 Communicated by A.R. Bishop PACS: 02.50.-r 05.90.+m 89.70.+c
متن کاملConjugate Representations and Characterizing Escort Expectations in Information Geometry
Based on the maximum entropy (MaxEnt) principle for a generalized entropy functional and the conjugate representations introduced by Zhang, we have reformulated the method of information geometry. For a set of conjugate representations, the associated escort expectation is naturally introduced and characterized by the generalized score function which has zero-escort expectation. Furthermore, we...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2003
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.68.031101