English

Effective support size

Statistics Theory 2007-06-13 v1 Statistics Theory

Abstract

Notion of effective size of support (Ess) of a random variable is introduced. A small set of natural requirements that a measure of Ess should satisfy is presented. The measure with prescribed properties is in a direct (exp-) relationship to the family of Renyi's α\alpha-entropies. Question of selecting the value of α\alpha most appropriate for the purpose of measuring Ess is briefly addressed.

Cite

@article{arxiv.math/0605146,
  title  = {Effective support size},
  author = {M. Grendar},
  journal= {arXiv preprint arXiv:math/0605146},
  year   = {2007}
}