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Rousseau, Ronald; Rousseau, Sandra – Canadian Journal of Information and Library Science, 1993
Reviews informetric, or bibliometric, distributions, including Lotka's, rank frequency distributions, Zipf functions, Mandelbrot functions, Leimkuhler functions, and Bradford's formulations. An example of the use of these techniques to analyze song texts of Thomas Dolby is given, and results are reported that show a fit with a Leimkuhler function.…
Descriptors: Bibliometrics, Mathematical Formulas, Songs, Statistical Distributions

Nicholls, Paul Travis – Information Processing and Management, 1988
Presents Price's law, which states that half of the literature on a subject will be contributed by the square root of total number of authors publishing in that area, and assesses it against empirical evidence and simulated productivity distributions. The discussion covers this law's relation to Lotka's law and its empirical validity. (Author/CLB)
Descriptors: Bibliometrics, Hypothesis Testing, Mathematical Models, Proof (Mathematics)

Sichel, H. S. – Journal of the American Society for Information Science, 1992
This study demonstrates that the number of references at the end of scientific research papers forms a strongly unimodal frequency distribution and that the generalized Gaussian-Poisson distribution fits such unimodal data extremely well. (three references) (Author/MES)
Descriptors: Bibliometrics, Citations (References), Mathematical Models, Research Reports

Oluic-Vukovic, Vesna – Journal of the American Society for Information Science, 1992
Reports on a study that examined the behavior of the journal productivity distribution curve over time using bibliographic references for research reports in chemistry and physics by Croatian authors over a 10-year period. Data characteristics of interest are described; and results regarding one-year distributions, changes in data characteristics,…
Descriptors: Bibliometrics, Chemistry, Physics, Productivity
The Maximal Value of a Zipf Size Variable: Sampling Properties and Relationship to Other Parameters.

Tague, Jean; Nicholls, Paul – Information Processing and Management, 1987
Examines relationships among the parameters of the Zipf size-frequency distribution as well as its sampling properties. Highlights include its importance in bibliometrics, tables for the sampling distribution of the maximal value of a finite Zipf distribution, and an approximation formula for confidence intervals. (Author/LRW)
Descriptors: Bibliometrics, Least Squares Statistics, Mathematical Models, Research Methodology

Rousseau, Ronald – Journal of the American Society for Information Science, 1992
Examines the robustness property of Lotka's law for scholarly papers with more than one author. Adjusted counts for assigning credit to authors proportionally are explained, and two bibliographies are analyzed using frequency distributions that show where the robustness property breaks down. (nine references) (LRW)
Descriptors: Authors, Bibliographies, Bibliometrics, Ratios (Mathematics)

Basu, Aparna – Journal of the American Society for Information Science, 1992
Reviews the literature on Bradford's law (i.e., an empirical relationship describing the distribution of scholarly articles in relevant journals). A model for the distribution of articles, based on random partitioning, is presented; and a mathematical formulation for a law of scattering is derived. The relationship of the model to Bradford's law…
Descriptors: Bibliometrics, Mathematical Formulas, Mathematical Models, Research Reports

Stewart, John A. – Information Processing and Management, 1994
Illustrates that the Poisson-lognormal model provides good fits to a diverse set of distributions commonly studied in bibliometrics and scientometrics. Topics discussed include applications to the empirical data sets related to the laws of Lotka, Bradford, and Zipf; causal processes that could generate lognormal distributions; and implications for…
Descriptors: Bibliometrics, Mathematical Formulas, Models, Research Needs

Rousseau, Ronald – Information Processing and Management, 1994
Discussion of informetric distributions shows that generalized Leimkuhler functions give proper fits to a large variety of Bradford curves, including those exhibiting a Groos droop or a rising tail. The Kolmogorov-Smirnov test is used to test goodness of fit, and least-square fits are compared with Egghe's method. (Contains 53 references.) (LRW)
Descriptors: Bibliometrics, Comparative Analysis, Goodness of Fit, Least Squares Statistics

Chen, Ye-Sho; And Others – Information Processing and Management, 1994
Investigates the relationships between the parameters of the Simon-Yule model and the shapes of three bibliometric distributions: Lotka's Law of Scientific Productivity; Bradford's Law of Bibliometric Scattering; and Zipf's Law of Word Frequency. The results indicate that the probability of a new entry determines the characteristics of all three…
Descriptors: Bibliometrics, Information Science, Information Utilization, Mathematical Formulas

Cronin, Blaise; And Others – Journal of the American Society for Information Science, 1993
Analyzes the scale and significance of acknowledgment behavior in 10 highly ranked sociology journals over a 10-year period. Peer interactive communication is discussed; correlation between frequency of acknowledgment and frequency of citation is examined; and incorporating acknowledgment data into the academic audit process is considered.…
Descriptors: Bibliometrics, Correlation, Faculty Promotion, Faculty Publishing

Qin, Jian – Library Trends, 1999
An example of semantic pattern analysis, based on keywords selected from documents grouped by bibliographical coupling, is used to demonstrate the methodological aspects of knowledge discovery in bibliographic databases. Frequency distribution patterns suggest the existence of a common intellectual base with a wide range of specialties and…
Descriptors: Bibliographic Coupling, Bibliographic Databases, Bibliometrics, Biomedicine