Asymptotic normality of maximum likelihood estimator for cooperative sequential adsorption

TL;DR

This paper proves the asymptotic normality of the maximum likelihood estimator for a cooperative sequential adsorption model in the thermodynamic limit, extending previous work and supporting statistical inference with numerical simulations.

Contribution

It establishes the asymptotic normality of the MLE for the cooperative sequential adsorption model, advancing theoretical understanding and practical inference.

Findings

MLE is asymptotically normal in the thermodynamic limit

Numerical simulations support theoretical results

Extends previous inference methods for the model

Abstract

We have shown in previous work that statistical inference for cooperative sequential adsorption model can be based on maximum likelihood estimation. In this paper we continue this research and establish asymptotic normality of the maximum likelihood estimator in thermodynamic limit. We also perform and discuss some numerical simulations of the model.