Generalized entropy-based criterion for consistent testing

Abstract

Through the use of a recently introduced, nonextensive, entropy, we generalize that of Kullback and Leibler [Ann. Math. Stat. 22, 79 (1961)] and study its properties. This in turn enables the proposal of a consistent criterion for testing relevant hypotheses such as the independence of random variables. Straightforward applications are shown to be possible for (physical, geophysical, economic, and biological) time series.

Identifiers

DOI

10.1103/physreve.58.1442

Citations and references