Likelihood method and Fisher information in construction of physical models

TL;DR

This paper explores the likelihood method and Fisher information within the context of constructing physical models, deriving key equations, and discussing their applications in quantum information and game theory.

Contribution

It introduces a formalism connecting statistical information measures with physical model construction, including derivations of the master equation and information principles.

Findings

Derived the master equation and structural information principle.

Presented a phenomenological description of information transfer.

Reviewed the extreme physical information (EPI) method.

Abstract

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.