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

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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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Linking options:

https://www.mathnet.ru/eng/mzm2803

https://doi.org/10.4213/mzm2803

https://www.mathnet.ru/eng/mzm/v80/i2/p220

This publication is cited in the following 30 articles:

Guzev M.A. Nikitina E.Yu. Chernysh V E., “Vp Maslov'S Approach to the Analysis of Rank Distributions”, Russ. J. Math. Phys., 28:1 (2021), 56–65
V. P. Maslov, A. I. Shafarevich, “Asymptotic solutions of Navier–Stokes equations and topological invariants of vector fields and Liouville foliations”, Theoret. and Math. Phys., 180:2 (2014), 967–982
V. P. Maslov, A. I. Shafarevich, “Asymptotic solutions of the Navier-Stokes equations and systems of stretched vortices filling a three-dimensional volume”, Math Notes, 91:1-2 (2012), 207
V. P. Maslov, A. I. Shafarevich, “Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices”, Math Notes, 90:5-6 (2011), 686
M. A. Guzev, E. Yu. Nikitina, “Rangovyi analiz Ugolovnogo Kodeksa RF (na primere ekonomicheskikh prestuplenii)”, Dalnevost. matem. zhurn., 10:2 (2010), 117–129
V. P. Maslov, “Quasithermodynamics and a Correction to the Stefan–Boltzmann Law”, Math. Notes, 83:1 (2008), 72–79
V. P. Maslov, “Quasithermodynamic correction to the Stefan–Boltzmann law”, Theoret. and Math. Phys., 154:1 (2008), 175–176
Maslov V. P., “On the superfluidity of classical liquid in nanotubes. III”, Russ. J. Math. Phys., 15:1 (2008), 98–101
Maslov V. P., Maslova T. V., “Synergetics and architecture”, Russ. J. Math. Phys., 15:1 (2008), 102–121
V. P. Maslov, “Zeroth-order phase transitions and Zipf law quantization”, Theoret. and Math. Phys., 150:1 (2007), 102–122
V. P. Maslov, “A Theorem on Parastatistics and Its Application”, Theoret. and Math. Phys., 150:3 (2007), 436–437
V. P. Maslov, “General Notion of a Topological Space of Negative Dimension and Quantization of Its Density”, Math. Notes, 81:1 (2007), 140–144
V. P. Maslov, “Densities of Lattices Corresponding to Spaces of Positive, Negative, and Variational Dimension, and Their Application to Time Series”, Math. Notes, 81:1 (2007), 222–233
V. P. Maslov, “Parastatistics and the General Theorem of Probability Theory as Applied to Risk-Free Investments”, Math. Notes, 81:3 (2007), 422–425
Maslov V. P., “Quantization of topological spaces of negative dimension, parastatistics, and distribution of dependent random variables”, Dokl. Math., 75:3 (2007), 424–427
Maslov V. P., “Revision of probability theory from the point of view of quantum statistics”, Russ. J. Math. Phys., 14:1 (2007), 66–95
V. P. Maslov, “Bose gas of anharmonic oscillators and refinement of the Zipf law”, Theoret. and Math. Phys., 148:3 (2006), 1295–1296
V. P. Maslov, “Bose–Einstein-type distribution applied to flicker noise and turbulence”, Theoret. and Math. Phys., 149:2 (2006), 1574–1575
V. P. Maslov, “On a new rank distribution”, Math. Notes, 80:3 (2006), 447–448
V. P. Maslov, “On the minimization of operational risks”, Math. Notes, 80:4 (2006), 539–541

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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