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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2006 Volume 80, Issue 2, Pages 220–230 (Mi mzm2803)

This article is cited 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

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.

UDC: 517.958

Received: 14.03.2006

DOI: 10.4213/mzm2803


 English version:
Mathematical Notes, 2006, 80:2, 214–223

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© Steklov Math. Inst. of RAS, 2024