# Document (#26008)

Author
Egghe, L.
Ravichandra Rao, I.K.
Title
Duality revisited : construction of fractional frequency distributions based on two dual Lotka laws
Source
Journal of the American Society for Information Science and technology. 53(2002) no.10, S.789-801
Year
2002
Abstract
Fractional frequency distributions of, for example, authors with a certain (fractional) number of papers are very irregular and, therefore, not easy to model or to explain. This article gives a first attempt to this by assuming two simple Lotka laws (with exponent 2): one for the number of authors with n papers (total count here) and one for the number of papers with n authors, n E N. Based an an earlier made convolution model of Egghe, interpreted and reworked now for discrete scores, we are able to produce theoretical fractional frequency distributions with only one parameter, which are in very close agreement with the practical ones as found in a large dataset produced earlier by Rao. The article also shows that (irregular) fractional frequency distributions are a consequence of Lotka's law, and are not examples of breakdowns of this famous historical law.
Theme
Informetrie
Object
Lotka-Gesetz

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5. Schreiber, M.: Empirical evidence for the relevance of fractional scoring in the calculation of percentile rank scores (2013) 0.22
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