Duality revisited: Construction of fractional frequency distributions based on two dual Lotka laws

Wiley - Tập 53 Số 10 - Trang 789-801 - 2002
Leo Egghe1, I. K. Ravichandra Rao2
1LUC, Universitaire Campus, B-3590 Diepenbeek, Belgium, and UIA, Universiteitsplein 1, B-2610 Wilrijk, Belgium#TAB#
2DRTC, ISI, 8th Mile, Mysore Road, R.V. College P.O., Bangalore, India and LUC, Universitaire Campus, B-3590 Diepenbeek, Belgium#TAB#

Tóm tắt

AbstractFractional 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 ∈ ℕ. Based on 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.

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Tài liệu tham khảo

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Wiley

Tập 53 Số 10

789-801

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