Titlebook: Mathematical Psychology in Progress; Edward E. Roskam Book 1989 Springer-Verlag Berlin Heidelberg 1989 Entscheidung.Entscheidungstheorie.M

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A Generalized “Discounting the Background” Model Extending the Traditional Grassmannian Approach to ies-type multiplicative transformations for increments and decrements. Due to the qualitative laws implied, the model is particularly attractive from a measurement-theoretic ‘Grassmannian’ perspective. Some empirical and theoretical aspects of the model are briefly discussed.

TOXIC

Rules for parallelprocessing networks with adaptive structurese of a ‘total confusion’ because of the superposition of the memory traces. Recently, attempts have been made to solve this problem, for example by implementing the ability to gradually ‘forget’ former memory traces.

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Current Directions in Mathematical Learning Theory theorem is that any partial recursive function can be asymptotically learned by a register learning model. In the discussion of this result the emphasis is on the need for a carefully organized hierarchy of concepts in order to have a rate of learning that is realistic for either organisms or machines.

PACK

The Representation of Dynamic Structuresies it is possible to apply linear system theory to psychology if it is combined with axiomatic measurement theory. For systems with scalar input and output quantities it is shown that after some modifications the theory of additive conjoint measurement is suitable for system identification.

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Random Variables and Qualitative Probability Representationsace on the measurement structure satisfies a natural condition. Moreover, it is shown how independent random variables which are required by most statistical applications can be constructed in this framework.

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Elements of a Model-Theoretic Framework for Probabilistic Measurementinto the theoretical discussion of probabilistic axioms as found in probabilistic measurement, and suggests a new scheme of classification. Some further prospects will be briefly discussed, in particular connections to probabilistic logic.

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New Results in Test Theory Without an Answer Keym the informant response data. The methodology is designed for anthropological field studies and related research designs. This paper studies the consequences of relaxing the axioms of our model for dichotomous items, and it presents new models for other testing formats.

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1431-7532 van Buggenhaut (Eds.), Trends In Mathematical Psychology, Amsterdam, North-Holland Publ. Cy., 1984, and E.E. Roskam & R. Suck (Eds.), Progress in Mathematical Psychology, Amsterdam: Elsevier Science Publ. As the title indicates, this volume presents work in progress, which was reported in one of th