Monte Carlo Methods in Statistics

TL;DR

Monte Carlo methods have become fundamental in statistics, surpassing traditional measure theory in familiarity, with ongoing advances enhancing their design and application in statistical analysis.

Contribution

This paper reviews recent advances in Monte Carlo techniques specifically tailored for statistical applications, highlighting their growing importance and development.

Findings

Monte Carlo methods are now central to statistical practice.

Recent improvements have optimized Monte Carlo techniques for better efficiency.

The paper emphasizes the importance of these methods in modern statistics.

Abstract

Monte Carlo methods are now an essential part of the statistician's toolbox, to the point of being more familiar to graduate students than the measure theoretic notions upon which they are based! We recall in this note some of the advances made in the design of Monte Carlo techniques towards their use in Statistics, referring to Robert and Casella (2004,2010) for an in-depth coverage.