English

General Type Token Distribution

Methodology 2014-06-27 v2 Probability

Abstract

We consider the problem of estimating the number of types in a corpus using the number of types observed in a sample of tokens from that corpus. We derive exact and asymptotic distributions for the number of observed types, conditioned upon the number of tokens and the latent type distribution. We use the asymptotic distributions to derive an estimator of the latent number of types and we validate this estimator numerically.

Keywords

Cite

@article{arxiv.1305.0328,
  title  = {General Type Token Distribution},
  author = {Shohei Hidaka},
  journal= {arXiv preprint arXiv:1305.0328},
  year   = {2014}
}

Comments

This paper is accepted in Biometrika. 5 pages and no figure in the main paper. 3 pages and 1 figure in the supplementary material

R2 v1 2026-06-22T00:09:55.694Z