Statistical substantiation of introduction of the distributions containing lifetime as thermodynamic parameter

TL;DR

This paper proposes a statistical framework for introducing distributions that incorporate lifetime as a thermodynamic parameter, using information inequalities and probability parametrization for effective estimation.

Contribution

It introduces a novel approach to model distributions with lifetime as an internal thermodynamic parameter, grounded in information theory and probability estimation.

Findings

Distribution models with lifetime as a thermodynamic parameter are theoretically substantiated.

Effective estimation methods for these distributions are proposed.

The approach links thermodynamic concepts with statistical distribution modeling.

Abstract

By means of an inequality of the information and parametrization of family of distributions of the probabilities, supposing an effective estimation, introduction of the distributions containing time of the first achievement of a level as internal thermodynamic parameter ground.