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Strange Expectations

Published online by Cambridge University Press:  01 April 2022

Ian Hacking
Ian Hacking*
Affiliation:
Stanford University
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Abstract

A new problem about mathematical expectation: there exists a state of affairs S and options H and T such that in every element of one partition of S, the expectation of H exceeds that of T, while in every element of a different partition of S, the expectation of T exceeds that of H. This problem may be connected with questions about inference in the short and long run, and with questions about confidence intervals and fiducial probability.

Type
Research Article
Information
Philosophy of Science , Volume 47 , Issue 4 , December 1980 , pp. 562 - 567
Copyright
Copyright © 1980 by Philosophy of Science Association

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References

Enis, P. (1973), “On the Relation E(X) = E(E(X/Y)),” Biometrika 60: 432-3.Google Scholar
Lindley, D. V. (1971), Bayesian Statistics, A Review.. Pittsburgh:SIAM.Google Scholar