English

Le cam theory on the comparison of statistical models

Statistics Theory 2016-05-12 v1 Probability Statistics Theory

Abstract

We recall the main concepts of the Le Cam theory of statistical experiments , especially the notion of Le Cam distance and its properties. We also review classical tools for bounding such a distance before presenting some examples. A proof of the classical equivalence result between density estimation problems and Gaussian white noise models will be analyzed.

Keywords

Cite

@article{arxiv.1605.03301,
  title  = {Le cam theory on the comparison of statistical models},
  author = {Ester Mariucci},
  journal= {arXiv preprint arXiv:1605.03301},
  year   = {2016}
}