English

The Missing Mass Problem

Statistics Theory 2011-11-10 v1 Statistics Theory

Abstract

We give tight lower and upper bounds on the expected missing mass for distributions over finite and countably infinite spaces. An essential characterization of the extremal distributions is given. We also provide an extension to totally bounded metric spaces that may be of independent interest.

Keywords

Cite

@article{arxiv.1111.2328,
  title  = {The Missing Mass Problem},
  author = {Daniel Berend and Aryeh Kontorovich},
  journal= {arXiv preprint arXiv:1111.2328},
  year   = {2011}
}

Comments

15 pages

R2 v1 2026-06-21T19:33:42.101Z