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Stochastic Models for Type Counts in a Literary Text
Published online by Cambridge University Press: 05 September 2017
Abstract
This paper studies a Markov chain model for type counts {Xn} in a literary text. First, a homogeneous Markov chain in discrete time is considered. This is then embedded in a continuous time Poisson process; the probability generating function for the resulting continuous time Markov chain is obtained. Expectations and variances of type counts are found for different values of the token count and various sizes M of an author's vocabulary; these results are finally tested against known data for three of Shakespeare's plays.
- Type
- Part VIII — Probability Models in the Humanities
- Information
- Copyright
- Copyright © 1975 Applied Probability Trust
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