Dynamics of ternary statistical experiments with equilibrium state

TL;DR

This paper analyzes the dynamics of ternary statistical experiments modeled by difference equations, focusing on equilibrium states and how different parameter domains influence the evolution scenarios.

Contribution

It provides a classification of the evolution scenarios of the model based on parameter domains, highlighting differences in the dynamics of ternary experiments.

Findings

Identification of key features like balance condition and equilibrium.

Classification of evolution scenarios based on parameter domains.

Insights into the dynamics of ternary statistical experiments.

Abstract

We study the scenarios of the dynamics of ternary statistical experiments, modeled employing difference equations. The important features are a balance condition and the existence of a steady-state (equilibrium). We give a classification of scenarios of the model evolution which are significantly different between them, depending on the domain of the values of the model basic parameters.