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Abstract: It is shown that the distribution of word frequencies for randomly generated texts is very similar to Zipf's law observed in natural languages such as the English. The facts that the frequency of occurrence of a word is almost an inverse power law function of its rank and the exponent of this inverse power law is very close to 1 are largely due to the transformation from the word's length to its rank, which stretches an exponential function to a power law function. (Update)
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BibTeX entry: (Update)
W. Li. Random texts exhibit zipf's law-like word frequency distribution. IEEE Transactions on Information Theory, 38(6):1842, 1992. http://citeseer.ist.psu.edu/li92random.html More
@article{ li92random,
author = "Li",
title = "Random Texts Exhibit {Zipf's} Law-Like Word Frequency Distribution",
journal = "IEEETIT: IEEE Transactions on Information Theory",
volume = "38",
year = "1992",
url = "citeseer.ist.psu.edu/li92random.html" }
Citations (may not include all citations):15 Computational Analysis of Present-Day American English (context) - Ku, Francis - 1967
13 An informational theory of the statistical structure of lang.. (context) - Mandelbrot - 1953
5 Mutual information functions of natural language texts (context) - Li - 1989
4 The Psycho-biology of Language: An Introduction to Dynamic P.. (context) - Miller, in - 1965
1 unpublished notes (context) - Gell-Mann
1 self-similarity and 1/f spectrum in dissipative dynamical sy.. (context) - Manneville - 1980
1 The peculiar distribution of rst digits (context) - Raimi - 1969
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