Entropy (Jul 2016)

The Structure of the Class of Maximum Tsallis–Havrda–Chavát Entropy Copulas

  • Jesús E. García,
  • Verónica A. González-López,
  • Roger B. Nelsen

DOI
https://doi.org/10.3390/e18070264
Journal volume & issue
Vol. 18, no. 7
p. 264

Abstract

Read online

A maximum entropy copula is the copula associated with the joint distribution, with prescribed marginal distributions on [ 0 , 1 ] , which maximizes the Tsallis–Havrda–Chavát entropy with q = 2 . We find necessary and sufficient conditions for each maximum entropy copula to be a copula in the class introduced in Rodríguez-Lallena and Úbeda-Flores (2004), and we also show that each copula in that class is a maximum entropy copula.

Keywords