Merging exchangeable occupancy models: $\mathcal{M}^{(a)}$- models and relation with the maximum entropy principle

TL;DR

This paper introduces a merging transformation for occupancy models, explores its effects on a specific class, and discusses implications for entropy maximization inference, advancing understanding in statistical modeling.

Contribution

It presents a novel merging transformation for occupancy models and analyzes its impact on entropy maximization, linking model theory with inference methods.

Findings

Merging transformation alters occupancy model properties

Results connect occupancy models with maximum entropy principles

Implications for statistical inference and model selection

Abstract

In this paper a new transformation of occupancy models, called merging, is introduced. In particular, it will be studied the effect of merging on a class of occupancy models that was recently introduced in Collet et al (2013). These results have an interesting interpretation in the so-called entropy maximization inference. The last part of the paper is devoted to highlight the impact of our findings in this research area.