Discussion of fractional frequency distributions of authors with a certain (fractional) number of papers focuses on the use of Lotka laws to model theoretical fractional frequency distributions with one parameter. Shows that irregular fractional frequency distributions are a consequence of Lotka's law, not breakdowns of the law. (Author/LRW)

Discusses structural differences between author-publication systems and journal-article systems, i.e., articles can have more than one author. Frequency functions are examined; and a new conceptual explanation of Lotka's Law, based on convolution theory, is proposed. (Contains eight references.) (LRW)

Discusses the shape of the obsolescence function based on the age data for cited journals. An analysis of the aging function is discussed; and statistical fits and mathematical explanations are illustrated, including the model of Avramescu, the Negative Binomial Distribution, the Weibull distribution, the lognormal distribution, and the utility…

After discussion of the equivalency of the information laws of Bradford, Leimkuhler, Lotka, and Mandelbrot, aberrations from Leimkuhler's law (including "Groos droop" as encountered in practice) are studied. Other aberrations of Leimkuhler's law are explained, starting from generalization of verbal formulation of Bradford's Law. (18…

Pratt's measure C on the class concentration of bibliometric distributions is calculated and interpreted for the laws of Zipf, Mandelbrot, and Lotka and geometric distribution, and comparisons are made of the results. An explicit mathematical formula which unifies disparate theories is derived and tested. (Author/CLB)

Examines the 80/20 rule that relates to productive sources in a bibliography. Highlights include applications in library acquisition policies, library circulation and weeding policies, science policy studies, information science, and econometrics; formulae of Burrell and of Egghe; probabilistic proofs; geometric distributions; Lotka distribution;…