The method of the likelihood and the Fisher information in the construction of physical models

• Published in: Physica Status Solidi (b) Vol. 246; no. 5; pp. 1033 - 1037
• Main Authors: Piotrowski, E.W., Sładkowski, J., Syska, J., Zaja̧c, S.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Berlin WILEY-VCH Verlag 01.05.2009; WILEY‐VCH Verlag; Wiley-VCH
• Subjects: 02.50.−r; 03.50.−d; 03.65.−w; Exact sciences and technology; Mathematical methods in physics; Physics; Probability theory, stochastic processes, and statistics; Phenomenological model; Entropy; Master equations; Likelihood function; Fisher information
• ISSN: 0370-1972; 1521-3951
• DOI: 10.1002/pssb.200881566

The subjects of the paper are the likelihood method (LM) and the expected Fisher information (FI) considered from the point od view of the construction of the physical models which originate in the statistical description of phenomena. The master equation case and structural information principle are derived. Then, the phenomenological description of the information transfer is presented. The extreme physical information (EPI) method is reviewed. As if marginal, the statistical interpretation of the amplitude of the system is given. The formalism developed in this paper would be also applied in quantum information processing and quantum game theory (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)