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原文連結
論文資訊
- 類型：已發表論文
- 日期：2009
摘要
Escort mean values (or q-moments) constitute useful theoretical tools for describing basic features of some probability densities such as those which asymptotically decay like 冪次定律s. They naturally appear in the study of many complex dynamical systems, particularly those obeying nonextensive 統計 mechanics, a current generalization of the Boltzmann-Gibbs theory. They recover standard mean values (or moments) for q=1. Here we discuss the characterization of a (non-negative) probability density by a suitable set of all its escort mean values together with the set of all associated normalizing quantities, provided that all of them converge. This opens the door to a natural extension of the well-known characterization, for the q=1 instance, of a distribution in terms of the standard moments, pro
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