Bibliometric laws:: Empirical flaws of fit
Bibliometric laws:: Empirical flaws of fit
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DOI：
10.1007/s11192-005-0211-5
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发表时间：
2005-04-01
期刊：
影响因子：
3.9
通讯作者：
Courtial, JP
中科院分区：
文献类型：
--
作者：
Bailón-Moreno, R;Jurado-Alameda, E;Courtial, JP
齐普夫、布拉德福德和洛特卡的文献计量学定律，在它们的各种数学表达中，经常在经验值的拟合中出现困难。拟合的经验缺陷发生在词的频率，在作者和期刊的生产力，以及在计量经济学和人口统计学方面。这表明应该修改底层的分形模型，因为如图所示，逆幂方程（Zipf-Mandelbrot类型）是不够的，因为它们需要包含指数项。这些修改不仅影响了文献计量学和科学计量学，而且由于分形模型的普遍性，也适用于经济，人口学，甚至自然科学。
The bibliometric laws of Zipf, Bradford, and Lotka, in their various mathematical expressions, frequently present difficulties in the fitting of empirical values. The empirical flaws of fit take place in the frequency of the words, in the productivity of the authors and the journals, as well as in econometric and demographic aspects. This indicates that the underlying fractal model should be revised, since, as shown, the inverse power equations (of the Zipf-Mandelbrot type) are not adequate, as they need to include exponential terms. These modifications not only affect Bibliometrics and Scientometrics, but also, for the generality of the fractal model, apply to Economy, Demography, and even Natural Sciences in general.