Generalization of the Aoki–Yoshikawa sectoral productivity model based on extreme physical information principle

Abstract

This paper presents a continuous variable generalization of the Aoki-Yoshikawa sectoral productivity model. Information theoretical methods from the Frieden-Soffer extreme physical information statistical estimation methodology were used to construct exact solutions. Both approaches coincide in first order approximation. The approach proposed here can be successfully applied in other fields of research.✩ Highlights: Assumptions of original Aoki-Yoshikawa sectoral productivity model (AYM) are given. Information channel capacity for the AYM in the extremal physical information (EPI) method is constructed. Analytical observed structural principle and variational one are found. Generating equation for AYM and probability distribution for AYM are found. Results of the original AYM and of the EPI method approach to AYM are compared.

Frieden wave-function representations via an Einstein-Podolsky-Rosen-Bohm experiment

“…V B 1 and V B 2 leads to the constancy of the Rao-Fisher metric on the statistical (sub)space S. The probability distribution of the EPR-Bohm problem (that we are looking for) is the discrete one (4). It is determined on the joint space Ω ab of the possible results S a S b ≡ S ab ∈ Ω ab = {++, −−, +−, −+}, (3), and normalized to unity in accordance with (5). Let us express the double index ab in a compact form, i.e., ab = ++, −−, +−, − + corresponds to j − 1 ≡ a b = 0, 1, 2, 3,…”

“…V B 3. However, we still have to determine the constants B and C. From the condition of the probability P (S a S b |ϑ) normalization to unity, (5), and using Eq. (36), we obtain the equation:…”

“…They called it the extreme physical information (EPI) method. Although the EPI method is mainly used to describe physical phenomena [2,3], other applications [2][3][4][5] have also been considered. This paper is devoted to the application of EPI for the description of the Einstein-Podolsky-Rosen-Bohm (EPR-Bohm) experiment proposed by Frieden [3].…”