Some Monte Carlo Estimates of the Yule Distribution

by Herbert Alexander Simon, T. A. Van Wormer


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Some Monte Carlo simulations of the Yule process, viewed as a stochastic process for generating the frequency distributions of words in text. Part I presents data for the case that cannot be solved analytically in closed form, where the rate at which new words enter the text is variable. Part II compares Monte Carlo simulations with two sets of data in which both the empirical frequency distributions and the actual rate at which words enter the text are known.

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