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Chen, Ye-Sho; Leimkuhler, Ferdinand F. – Information Processing and Management, 1987
This analysis of Zipf's law uses an index for the sequence of observed values of the variables in a Zipf-type relationship. Three important properties relating rank, count, and frequency are identified, shapes of Zipf-type curves are described, and parameters of the Mandelbrot-Zipf law are discussed. (Author/LRW)
Descriptors: Indexing, Mathematical Models, Predictor Variables, Statistical Distributions
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

Bartschi, Martin – Information Processing and Management, 1985
Presents a general mathematical framework for information retrieval, in which query evaluation is seen as a mapping from the free term algebra built by query descriptors and weights to the semantic algebra of evaluation value. Competing mathematical models that try to describe how retrieval systems behave are reviewed. (Author/MBR)
Descriptors: Algebra, Algorithms, Evaluation Methods, Information Retrieval

Weissmann, V. E. – Information Processing and Management, 1986
The approach of J. D. Sneed is used to argue for a distinction between theoretical and nontheoretical (or empirical) entities. Attention is directed toward this approach as an important facility for looking at statistics and for constructing a framework for the correct use of statistical theory in information retrieval experiments. (MBR)
Descriptors: Experiments, Information Retrieval, Information Science, Mathematical Models

Mazur, Zygmunt – Information Processing and Management, 1984
Investigates the properties of a global model consisting of "n" local information retrieval systems based on thesaurus. Definitions of a distributed information retrieval system (thesaurus, documents set, set of queries) and proofs of theorems denoting further properties of the systems are highlighted. Five references are included. (EJS)
Descriptors: Information Retrieval, Information Systems, Mathematical Formulas, Mathematical Models

Crouch, Carolyn J. – Information Processing and Management, 1988
Describes the two basic approaches to the calculation of term discrimination values for automatic indexing. The results of an experiment that investigated the differences between algorithms of these two approaches in terms of their impact on the discrimination value model are reported and discussed. (13 references) (Author/CLB)
Descriptors: Algorithms, Automatic Indexing, Comparative Analysis, Computational Linguistics

Kersten, Gregory E. – Information Processing and Management, 1987
Focuses on the role of the computer system in group decision making. Two systems used in solving negotiating problems--NEGO and MEDIATOR--and three procedures that can be utilized to develop group decision support systems are analyzed, based on multicriteria decision analysis and mathematical programming models. (Author/LRW)
Descriptors: Aspiration, Computer System Design, Decision Making, Decision Support Systems

Jarvelin, Kalervo – Information Processing and Management, 1986
Develops an approach for advance estimation of user charges based on information actually retrieved by searching numeric databases, and defines a method for query cardinality estimation. Based on the relational data model, which uses relational algebra, this method uses formal file descriptions to describe the database files. (LRW)
Descriptors: Algebra, Databases, Estimation (Mathematics), Fees

Kampfner, Roberto R. – Information Processing and Management, 1985
Presents a formal model for specification of logical requirements of computer-based information systems that incorporates structural and dynamic aspects based on two separate models: the Logical Information Processing Structure and the Logical Information Processing Network. The model's role in systems development is discussed. (MBR)
Descriptors: Computer Software, Design Requirements, Information Needs, Information Processing

Kochen, Manfred – Information Processing and Management, 1984
Explores potential of mathematical theory of communication for information science and examines question of how to encode a message at time it is encountered for subsequent recall. Examples of problem, a prototype computer program and experiment, coding as embedding in associational nets, and nature of information are discussed. (Nine references.)…
Descriptors: Algorithms, Communication (Thought Transfer), Computer Software, Information Retrieval

Reddi, Arumalla V. – Information Processing and Management, 1984
Presents a system model for transmission of input data that is coming from terminals of users in a limited user resource-sharing environment. Performance of a mini/microcomputer receiving mixture of picture-phone terminal data is analyzed with constant service times, synchronous transmission, and single-server interruptions through first-order…
Descriptors: Computer Storage Devices, Display Systems, Information Networks, Information Storage