This speculative historiographic essay attempts to fix the present position of library and information science within the context of the probabilistic revolution that has been encompassing all of science. Comprises a guide to statistical research in library and information science, discussing skewed distributions, biostatistics, stochastic models,…

Describes informetric distributions as a family of regularities found to describe a wide range of phenomena both within and outside of the information sciences. Highlights include Bradford's Law of Scattering; Leimkuhler Variant; Lotka's Law; Zipf's Law; Pareto's Law; and a discussion of consequences for the social sciences. (22 references) (LRW)

Discussion of authorship distributions focuses on the results of a numerical study for fractional authorship attribution. Highlights include coauthors; multinomial coefficients; Lotka functions; probability distributions of articles per author; and probability distributions of authors per article. (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)

Proposes a mathematical model to explain the observed concentration or diversity of nominal classes in information retrieval systems. The Lorenz Curve is discussed, Information Production Process (IPP) is explained, and a heuristic explanation of circumstances in which the model might be used is offered. (30 references) (LRW)

Describes a study that examined Top 40 singles chart data to determine whether the frequency distribution of artist productivity fit either of two laws of scatter (Lotka Law of Scientific Productivity or Bradford Law of Scatter). Possible reasons for the lack of statistical significance found between the theoretical and observed distributions are…

Presents a model and experimental results of a new one-phase technique for compression text files that is a modification of the Ziv and Lempel compression scheme. The description includes the use of a subword dictionary that is periodically reorganized based on information theory and structural linguistics principles. (29 references) (Author/CLB)

Establishes a type-token identity relating type-token ratio and bilogarithmic type-token ratio; uses the Simon-Yule model of Zipf's law to drive the type-token ratio and provide a statistical model of text generation; and refines the model to allow for decreasing entry rates of new words. (26 references) (Author/CLB)

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)

A study comparing citations received by patents in given year to number received in subsequent years found that, even though influential patents remain influential, both highly and infrequently cited patents age at same rate. Distribution of patents by number of citations received is stable over time. (17 references) (EJS)

Demonstrates the use of the Waring distribution as a model for the frequency distribution of scientific productivity. Methods for testing the fit at both ends of the distribution, as well as for estimating the parameters of the distribution and the total number of scientists, are outlined. (16 references) (Author/CLB)

Presents a system of software and analysis for the development of mathematical models designed to explain the structure in large bibliographic data sets. The discussion covers the goodness of fit obtained in testing and replications, and the implications for the control of large information systems. (six references) (CLB)

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,…

Corrects an error in the calculation of the Kolmogorov-Smirnov (KS) statistic when it is used to empirically confirm or deny the generalized Lotka's law. Examples from the literature are given of both correct and incorrect uses of the KS test and Lotka equations with cumulative distribution functions (CDFs). (six references) (LRW)

Explores inter-record linkage relationships of a bibliographic hypertext system through the use of descriptor term co-occurrences. Using term distribution and term exhaustivity data for an existing system, three models of term co-occurrence are developed and tested against the observed data. (Author/LRW)