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A Total Entropy Criterion for the Dual Problem of Model Discrimination and Parameter Estimation
David M. Borth
Journal of the Royal Statistical Society. Series B (Methodological)
Vol. 37, No. 1 (1975), pp. 77-87
Stable URL: http://www.jstor.org/stable/2984993
Page Count: 11
You can always find the topics here!Topics: Entropy, Parametric models, Mathematical independent variables, Experiment design, Mathematical problems, Modeling, Probabilities, Statistical models, Experimentation, Statism
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A total entropy criterion is developed for the sequential design of experiments. The criterion is applicable to the dual problem of model discrimination and parameter estimation. The total entropy measures both the uncertainty about which mathematical model is correct and the uncertainty about the parameter vector for each model. The criterion is shown to lead to the choice of experiment for which the outcome is most uncertain, relative to the uncertainty due to experimental error.
Journal of the Royal Statistical Society. Series B (Methodological) © 1975 Royal Statistical Society