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Symmetric Limiting Distributions of Response Probabilities

Published online by Cambridge University Press:  01 January 2025

G. S. Marliss  and
J. R. McGregor
G. S. Marliss
Affiliation:
University of Alberta
J. R. McGregor
Affiliation:
University of Alberta
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Abstract

Necessary and sufficient conditions for the symmetry of the limiting distributions of response probabilities are derived for the Bush and Mosteller two experimenter-controlled events learning model [Bush and Mosteller, 1955].

Type
Original Paper
Information
Psychometrika , Volume 33 , Issue 3 , September 1968 , pp. 383 - 385
Copyright
Copyright © 1968 The Psychometric Society

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Footnotes

*

Now at the Imperial College, London.

References

Bush, R. R., and Mosteller, R. Stochastic models for learning, New York: Wiley, 1955.CrossRefGoogle Scholar
Feller, W. An introduction to probability theory and its applications, Vol. 2, New York: Wiley, 1966.Google Scholar
Karlin, S. Some random walks arising in learning models, I.. Pacific Journal of Mathematics, 1953, 3, 725–756.CrossRefGoogle Scholar
McGregor, J. R. and Zidek, J. V. A sequence of limiting distributors of response probabilities. Psychometrika, 1965, 30, 491–497.CrossRefGoogle Scholar