General type-token distribution

@article{Hidaka2013GeneralTD,
  title={General type-token distribution},
  author={Shohei Hidaka},
  journal={Biometrika},
  year={2013},
  volume={101},
  pages={999-1002}
}
  • S. Hidaka
  • Published 2 May 2013
  • Mathematics
  • Biometrika
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 on 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 validate this estimator numerically. 

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References

SHOWING 1-10 OF 40 REFERENCES
SOME ELABORATIONS UPON GANI'S MODEL FOR THE TYPE-TOKEN RELATIONSHIP
This paper considers certain stochastic models for token and type counts in literary texts. Elaborating on some models of Gani, it is shown that reasonable fits can be obtained to some data of YuleExpand
Good-Turing Frequency Estimation Without Tears
TLDR
The Simple Good–Turing estimator is defined, which is straightforward to use and performs well, absolutely and relative both to the approaches just discussed and to other, more sophisticated techniques. Expand
How useful is the logarithmic type/token ratio?
What has been described as ‘one of the most remarkable (facts) in quantitative linguistics’ is the constancy of the logarithmic type/token ratio. If V denotes vocabulary and N text length, then logExpand
Sampling-Based Estimation of the Number of Distinct Values of an Attribute
TLDR
This appears to be the first extensive comparison of distinct-value estimators in either the database or statistical literature, and is certainly the first to use highlyskewed data of the sort frequently encountered in database applications. Expand
Sampling from Dirichlet partitions: estimating the number of species
The Dirichlet partition of an interval can be viewed as the generalization of several classical models in ecological statistics. We recall the unordered Ewens sampling formulae -ESF) from finiteExpand
On the relation between the type–token and species-area problems
The species-area problem in biology and the type-token problem in literary studies are analogues of one another but have nearly disjoint literatures. Here their relationship is treated, a critique ofExpand
How Variable May a Constant be? Measures of Lexical Richness in Perspective
TLDR
The results suggest that the empirical trajectories tap into a considerable amount of authorial structure without, however, guaranteeing that spatial separation implies a difference in authorship. Expand
Estimating the Number of Species: A Review
How many kinds are there? Suppose that a population is partitioned into C classes. In many situations interest focuses not on estimation of the relative sizes of the classes, but on estimation of CExpand
Measures of Lexical Richness
Lexical richness is about the quality of vocabulary in a language sample. For some, this is equated with the variety of lexis, while for others it is a multidimensional concept. Keywords: Expand
Nonparametric estimation of the number of classes in a population
On applique la methode d'Efron (1981, 1982) a la construction d'intervalles de confiance bases sur des distributions du bootstrap
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4
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