Strange expectations

Philosophy of Science 47 (4):562-567 (1980)
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
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