A probabilistic model for interactive retrieval is presented. Bayesian statistical decision theory principles are applied: use of prior and sample information about the relationship of document descriptions to query relevance; maximization of expected value of a utility function, to the problem of optimally restructuring search strategies in an…

The theoretical model of a document retrieval system is described by giving logical meaning to the vagueness and the similarity characteristic to such systems, with the frequency of occurrences of keywords and the relations among them taken into consideration. (6 references) (Author/SJ)

A formula for the ratio of the variance of the pooled transformed data under departure from the binomial assumption to the variance of the pooled transformed data when the binomial assumption holds is given. (Authors)

This paper attempts to analyze the problem of congestion, using a mathematical model shown to be of value in other similar applications. Three criteria of congestion are considered, and it is found that the conclusion one can draw is sensitive to which of these criteria is paramount. (8 references) (Author/NH)

Authors demonstrate that a simple algebraic analysis renders previous interpretations superfluous, making overlap" a tautology and not a hypothesis. (Authors/MB)

A simplified proof of a lemma by Ledermann, which lies at the core of the factor indeterminacy issue, is presented. (Author)

Earlier Analyses are shown to involve special cases of the equations developed here; also that a general four-state chain has the same parameter space as an all-or-none model if and only if its representation with an observable absorbing state is lumpable into a Markov chain with three states. (Author/GS)

Presents a model for the removal of ozone from air masses by vegetation. Compares simulation with Los Angeles data, and suggests needed research. (AL)

The authors, members of a group that has been studying university planning since 1965, describe a mathematical, computerized model of university activities which they are now constructing, using data from the University of Reading. (JW)

Data are often a continuous function of a variable such as time observed over some interval. One or more such functions might be observed for each subject. The extension of classical data analytic techniques to such functions is discussed. (Author/JKS)

Some mathematical aspects of minimum trace factor analysis (MTFA) are discussed. The uniqueness of an optimal point of MTFA is proved, and necessary and sufficient conditions for any particular point to be optimal are given. The connection between MTFA and classical minimum rank factor analysis is discussed. (Author/JKS)

A variety of problems associated with the interpretation of traditional canonical correlation are discussed. A response surface approach is developed which allows for investigation of changes in the coefficients while maintaining an optimum canonical correlation value. Also, a discrete or constrained canonical correlation method is presented. (JKS)

This paper explains how a major statistical package (BMDP) can be used to produce partial, semipartial, or bipartial set correlation in terms of a procedure outlined by Karpman (1980). (BW)