The third order information measure: a valid measure of information

  • Ezron John Dy Cabrera National Institute of Physics, University of the Philippines Diliman
  • Eric Alvarez Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

In this paper, we formulated a hierarchy of information measure starting from the basic information measure (e.g. Shannon entropy), q-valued entropies (e.g. Tsallis entropy) to other information measures formulated that enable the researchers to have a generalization that can generate other forms of information measures. It was also proven that the third order information measure is a valid measure of information by satisfying the Khinchin axioms. Aa probability distribution was also derived using the Maximum Entropy Principle which gives it a possible statistics to model.

Published
2018-05-24
How to Cite
[1]
E. J. Cabrera and E. Galapon. The third order information measure: a valid measure of information, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PB-17 (2018). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2018-PB-542.
Section
Poster Session B (Complex Systems, Simulations, and Theoretical Physics)