Strange Expectations

@article{Hacking1980StrangeE,
  title={Strange Expectations},
  author={Ian Hacking},
  journal={Philosophy of Science},
  year={1980},
  volume={47},
  pages={562 - 567}
}
  • I. Hacking
  • Published 1 December 1980
  • Philosophy of Science
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. 
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Decision-Making

References

On the Relation E(X) = E{E(X∣Y)}