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Matematicheskie Zametki, 2006, Volume 80, Issue 2, Pages 220–230
DOI: https://doi.org/10.4213/mzm2803 (Mi mzm2803) 		 
This article is cited in 30 scientific papers (total in 30 papers)

The Lack-of-Preference Law and the Corresponding Distributions in Frequency Probability Theory

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (646 kB) Citations (30)
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DOI: https://doi.org/10.4213/mzm2803
Abstract: We obtain two new distributions in frequency probability theory and demonstrate them, in particular, in the example of frequency dictionaries. One of these distributions gives a logarithmic correction to the Zipf–Mandelbrot law, and the other describes the “tails” of the distribution.
Keywords: frequency probability, frequency dictionary, Zipf–Mandelbrot law, tail of distribution, Shannon entropy, Wiener process, Kolmogorov complexity.
Received: 14.03.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 2, Pages 214–223
DOI: https://doi.org/10.1007/s11006-006-0130-7
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: V. P. Maslov, “The Lack-of-Preference Law and the Corresponding Distributions in Frequency Probability Theory”, Mat. Zametki, 80:2 (2006), 220–230; Math. Notes, 80:2 (2006), 214–223
Citation in format AMSBIB
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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