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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

Egghe, L. – Journal of the American Society for Information Science, 1987
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)
Descriptors: Bibliometrics, Classification, Comparative Analysis, Functions (Mathematics)