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The theory of Information and statistical inference. I

Published online by Cambridge University Press:  14 July 2016

P. D. Finch
P. D. Finch*
Affiliation:
Australian National University
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Extract

The purpose of this paper is to construct a theory of the amount of information provided by an experiment which does not rely on what Good (1962) has termed the modern Bayesian principle that it is legitimate to use the axioms of probability even when this involves the use of probabilities of hypotheses. In this respect the theory of this paper differs from the Lindley (1956), Mallows (1959) and Good (1960) each of which is written from a Bayesian viewpoint. Lindley (1956) expresses the opinion that Bayesian ideas would seem to be necessary to the development of a theory of the amount of information provided by an experiment and it is of interest therefore to determine how far such a theory may be developed without Bayesian ideas. There is further a need to use such a theory to examine how prior knowledge can be expressed quantitatively, and used in accordance with that theory.

Type
Research Papers
Information
Journal of Applied Probability , Volume 1 , Issue 1 , June 1964 , pp. 121 - 140
Copyright
Copyright © Applied Probability Trust 1964 

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References

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