The third order information measure: a valid measure of information

Authors

  • 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.

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Published

2018-05-24

How to Cite

[1]
EJD Cabrera and EA 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://proceedings.spp-online.org/article/view/SPP-2018-PB-542.

Issue

Section

Poster Session B (Complex Systems, Simulations, and Theoretical Physics)