Asymptotically normal estimators for Zipf's law
Zipf's law states that sequential frequencies of words in a text correspond to a power function. Its probabilistic model is an infinite urn scheme with asymptotically power distribution. The exponent of this distribution must be estimated. We use the number of different words in a text and simi...
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| Zusammenfassung: | Zipf's law states that sequential frequencies of words in a text correspond
to a power function. Its probabilistic model is an infinite urn scheme with
asymptotically power distribution. The exponent of this distribution must be
estimated. We use the number of different words in a text and similar
statistics to construct asymptotically normal estimators of the exponent. |
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| DOI: | 10.48550/arxiv.1706.01419 |