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http://hdl.handle.net/1942/737
Title: | Relations between the continuous and the discrete Lotka power function | Authors: | EGGHE, Leo | Issue Date: | 2005 | Publisher: | Wiley | Source: | Journal of the American Society for Information Science and Technology, 56(7). p. 664-668 | Abstract: | The discrete Lotka power function describes the number of sources (e.g., authors) with n=1, 2, 3, . . items (e.g., publications). As in econometrics, informetrics theory requires functions of a continuous variable j, replacing the discrete variable n. Now j represents item densities instead of number of items. The continuous Lotka power function describes the density of sources with item density j. The discrete Lotka function one obtains from data, obtained empirically; the continuous Lotka function is the one needed when one wants to apply Lotkaian informetrics, i.e., to determine properties that can be derived from the (continuous) model. It is, hence, important to know the relations between the two models. We show that the exponents of the discrete Lotka function (if not too high, i.e., within limits encountered in practice) and of the continuous Lotka function are approximately the same. This is important to know in applying theoretical results (from the continuous model), derived from practical data. | Keywords: | Discrete Lotka function; continuous Lotka function; power function | Document URI: | http://hdl.handle.net/1942/737 | ISSN: | 1532-2882 | DOI: | 10.1002/asi.20157 | ISI #: | 000228634800001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2006 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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relations 1.pdf Restricted Access | Published version | 72.92 kB | Adobe PDF | View/Open Request a copy |
relations 2.pdf | Peer-reviewed author version | 369.57 kB | Adobe PDF | View/Open |
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