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)

Discusses the concept of the hyperbolic or skew distribution as a universal statistical law in information science and socioeconomic studies. Topics include Zipf's law; Stankov's universal law; non-Gaussian distributions; and why most bibliometric and scientometric laws reveal characters of non-Gaussian distribution. (Author/LRW)

Four empirical laws of bibliometrics--anomalous number, Lotka's, Zipf's, and Bradford's--together with Laplace's "law of succession" and de Solla Price's cumulative advantage distribution are shown to be almost identical. A simple model shows that the frequency forms conform with inverse square law over appropriate interval. (Fifteen…

This article offers comments and clarifications of Egghe's paper, which dealt with information production processes (IPP) and the Gini index. Topics addressed include the length of the Lorenz curve as a concentration measure, the discrete duality operator, and a Bradford-Leimkuhler distribution. (10 references) (LRW)

Explains Type/Token-Taken informetrics as a new part of informetrics that studies the use of items rather than the items themselves. Highlights include the frequency distribution of Type/Token-Taken informetrics; the Lotka frequency law; linguistics; a comparison of Type/Token with Type/Token-Taken informetrics; and proofs of theorems. (Author/LRW)

Examines various kinds of uncertainty in information science. The notion of ambiguity is defined and contrasted with the more familiar notions of randomness and vagueness. Functional forms resistant to ambiguity are defined, and it is shown how to incorporate a random component, that is itself also resistant to ambiguity, into a resilient, but…

Reformulates the success-breeds-success (SBS) principle in informetrics in order to generate a general theory of source-item relationships. Topics include a time-dependent probability, a new model for the expected probability that is compared with the SBS principle with exact combinatorial calculations, classical frequency distributions, and…

Argues that a major difficulty in using Lotka's law in information science arises from the misuse of goodness of fit tests in parameter estimation. Three approaches for studying Lotka's law are presented: an index approach, a time series approach, and a generating mechanism incorporating these two influential variables to derive an equilibrium…

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…

Presents abstracts of papers for a planned session dealing with the historiography and history of information science. Highlights include probability distributions underlying the use of library materials, particularly scientific journals; the temporal and historical orientation of the rhetoric of information science; and concepts of information…

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;…

Describes study that compared terminology indexing and citation indexing to determine the similarity of documents retrieved. Information science articles from 1971 to 1983 in three journals were studied for term co-occurrences. The distinction between relevant and pertinent documents is discussed, and further research topics are suggested. (LRW)

Examines how informetric characteristics of information retrieval (IR) system databases can be used to help system designers decide what type of file structures would provide the best performance. The development of appropriate models describing database contents is highlighted in this first part of a two-part study. (30 references) (LRW)

This second report on a two-part study on the application of informetrics to information retrieval (IR) system design used models of database contents in a factorial simulation study at the University of Western Ontario. The study explored whether different file structures were better suited for different informetric environments. (32 references)…