Abstract
Three approaches to calculating the boundaries of the core and zones of scattering of publications, and more specifically, the coordinates of three characteristic points, viz., A, C, and B, on the distribution curve are investigated. These are the analytical and graphical methods, as well as the method of least squares. The first two methods can be applied to any statistical rank-size distribution in the case of a homogeneous sample. Such distributions can be described by the second system of continuous distributions, which represents the universal law of scattering of publications. In a particular case, if Weibull’s law can be met, the method of least squares is applied. Practical examples that confirm the high accuracy level of statistical rank-size distributions approximated by a second system of continuous distributions are presented.
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References
Mikhailov, A.I., Chernyi, A.I., and Gilyarevskii, R.S., Osnovy informatiki (Fundamentals of Informatics), Moscow: Nauka, 1968.
Neshitoi, V.V., Universal laws of spreading and ageing of publications, Vesn. Belarus. Dzyarzh. Univ. Kul’tury Mast., 2007, no. 8, pp. 128–133.
Neshitoi, V.V., Elementy teorii obobshchennykh raspredelenii (Elements of Generalized Distribution Theory), Minsk: RIVSh, 2009.
Neshitoi, V.V., Matematiko-statisticheskie metody analiza v bibliotechno-informatsionnoi deyatel’nosti: ucheb.-metod. posobie (Mathematical-Statistical Methods of Analysis in Librarian-Information Activity: A Tutorial), Minsk: Bel. Gos. Univ. Kul’tury Iskusstv, 2009.
Neshitoi, V.V., Metody statanaliza v bibliotechnoi deyatel’nosti: vychislenie nepreryvnykh raspredelenii: ucheb.-metod. posobie (Methods of Statistical Analysis in Librarian Activity: A Tutorial), Minsk: Bel. Gos. Univ. Kul’tury Iskusstv, 2010.
Neshitoi, V.V., Zipf’s and Bradford’s laws and universal models, Autom. Docum. Mathem. Linguist., 2010, vol. 44, np. 1, pp. 30–37.
Neshitoi, V.V., Form of range distribution presentations, Uch. Zap. Tartusk. Gos. Univ., 1987, no. 774, pp. 123–134.
Belonogov, G.G., On some statistical regularities in Russian written speech, Vopr. Yazykozn., 1962, no. 1, pp. 100–101.
Neshitoi, V.V., Laws of word distribution in text and its lexical parametrization, Candidate. Sci. (Philol.) Dissertation, Minsk, 1973.
Lyashevskaya, O.N. and Sharov, S.A., Frequency Dictionary of Contemporary Russian Language (on the Materials of National Corps of Russian Language). http://dict.ruslang.ru/freq.php
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Original Russian Text © V.V. Neshitoi, 2013, published in Nauchno-Tekhnicheskaya Informatsiya, Seriya 2, 2013, No. 11, pp. 1–11.
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Neshitoi, V.V. Methods for calculating the boundaries of the core and zones of scattering of publications. Autom. Doc. Math. Linguist. 47, 169–179 (2013). https://doi.org/10.3103/S0005105513060034
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DOI: https://doi.org/10.3103/S0005105513060034