Discusses alternative forms of the desirability distribution for library materials and demonstrates the differences in short- and long-term patterns of frequency distribution in the circulation of library materials. Four figures, an appendix on statistical models for library circulation, and a reference list are included. (Author/JL)

Presents a probability model of the occurrence of index terms used to derive discrete distributions which are mixtures of Poisson and negative binomial distributions. These distributions give better fits than the simpler Zipf distribution, have the advantage of being more explanatory, and can incorporate a time parameter if necessary. (25…

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…

Describes a study conducted in a Taiwan hospital library that explored the in-house use age distribution of journals, their citation age distribution, and the difference between them. Discusses use of the Kolmogorov-Smirnov test, which showed that the use age distribution does not fit the citation age distribution. (Author/LRW)

Frequency-of-circulation distributions from 16 United Kingdom libraries participating in initial period of operation of the Public Lending Right are discussed. Differences between the libraries are highlighted, and, for each, the adequacy of various refinements of the simplest model (geometric distribution, negative binomial distribution, or mixed…

Review of recent developments in statistical theories for social sciences highlights Haitun's statistical distributions, Laplace's "Law of Succession" and distribution, Laplace and Bradford analysis of book-index data, inefficiency of frequency distribution analysis, Laws of Bradford and Zipf, natural categorization, and Bradford Law and…

Demonstrates, with an example, a relatively simple method for fitting Bradford's law to empirical data to estimate the number of journals and articles in a subject collection. An exact discrete formulation illustrates Bradford's law as a special case of the Zipf-Mandlebrot "rank frequency" law. (Author/RAA)

Discusses the effect of including relevance data on the calculation of term discrimination values in bibliographic databases. Algorithms that calculate the ability of index terms to discriminate between relevant and non-relevant documents are described and tested. The results are discussed in terms of the relationship between term frequency and…

Develops stochastic model of library borrowing using Negative Binomial distribution applied to circulation data obtained from Huddersfield Public Library. Evidence concerning process of popularity decay is presented and method is given by which relegation tests can be constructed to maintain optimum turnover. Eight references and statistical…

Argues that the application of Bradford's original formulation to Leimkuhler's choice of bibliographic citations more closely fits the statistical data than does his own. Operational research techniques are assailed as inadequate and wasteful to the needs and purposes of the social sciences. Six references are provided. (RAA)