It is shown that Trueswell's empirical 80/20 rule arises from type of stochastic model for library loans presented by Burrell and Cane. Particular attention is paid to previously suggested uses of rule in identifying "core collection" for library noting that length of time period is of crucial importance. (20 references) (EJS)

Argues that the gamma mixture of Poisson processes, for all its perceived defects, can be used to make predictions regarding future library book circulations of a quality adequate for general management requirements. The use of the model is extensively illustrated with data from two academic libraries. (Nine references) (CLB)

Argues that library book circulation is a binomial rather than a Poisson process, and that individual book popularities are continuous beta distributions. Three examples demonstrate the superiority of beta over negative binomial distribution, and it is suggested that a bivariate-binomial process would be helpful in predicting future book…

Discusses the purpose of mathematical models and reviews the phases of the modeling process--defining performance, representing the problem, predicting performance, estimating parameters, defining optimization criterion, determining solution, and implementing results. Reviews of book-use, resource allocation, and library network models are…

Discussion of models for library circulation data highlights a new statistical prediction model that creates a flexible regression curve. Linear graphs that result from previous models are discussed, bivariate discrete distributions are explained, and graphs that show library circulation for one year at a time are presented. (nine references) (LRW)

Correlation structure of the Burrell and Cane mixed Poisson model for library loans with aging is presented and illustrated by data from University of Sussex. The approach is compared and contrasted with that originally formulated by Morse and recently reevaluated by Beheshti and Tague. Directions for future investigations are suggested. (Author)

Based on sample data representing five years of monthly circulation totals from 50 academic libraries in Illinois, Iowa, Michigan, Minnesota, Missouri, and Ohio, a study was conducted to determine the most efficient smoothing forecasting methods for academic libraries. Smoothing forecasting methods were chosen because they have been characterized…

Proposes a model of library output as an abstract quantity, and relates it to other components of library performance. The consequences of basing library funding on such measurable outputs as circulation are also examined in light of the proposed model. A 13-item reference list and four figures are provided. (JL)

Discusses the generalized inverse Gaussian-Poisson (GIGP) process for informetric modeling. Negative binomial distribution is discussed, construction of the GIGP process is explained, zero-truncated GIGP is considered, and applications of the process with journals, library circulation statistics, and database index terms are described. (50…

This is a study on the operating efficiency of the public library system in Australia. Cost functions have been fitted to library data and the results are interpreted with a view to generating insights into the functioning of the existing library system. An exploratory cost benefit analysis has also been attempted. Activities of libraries have…

Explains some observed library circulation frequency distributions through use of a simple stochastic model for the borrowing of books from a library collection. Parameters of the model are described and the model is applied to circulation data from three academic libraries. (Author/SW)

Presents a model of the relation between the circulation at a large library, the collection at that library, and the size of the user population. Analysis of data at United States academic research libraries reveals a square-root law describing this relation. Explores theoretical foundations and speculates on bibliometric implications. (Author/AEF)

Using Ehrenberg's application of mathematical models to the analysis and prediction of repeated buying patterns of consumers, this study focuses on the concept of library use as a form of consumer behavior. The following hypotheses were tested: designated library user groups will tend to exhibit stable behavioral patterns with respect to the…

Two models of library circulation, the Markov model and the mixed Poisson Model, are applied to circulation statistics from the University of Saskatchewan. Goodness-of-fit tests indicate that neither model fits the data; in both cases, the set of noncirculating items is larger than that predicted by the model. (Author/LRW)

A number of sample inventories were conducted to measure the effectiveness of the Tattle-Tape book detection systems used in the Moffitt Undergraduate Library and the General Reference Services area of Doe Library, and to establish baseline data for missing materials in four branch libraries (Education-Psychology, Engineering, Environmental…