Abstract
A complexity approach is used to decide whether or not the mean of a sequence of independent identically distributed random variables lies in an arbitrary specified countable subset of the real line. A procedure is described that makes only a finite number of mistakes with probability one. This leads to some speculations on inference of the laws of physics and the computability of the physical constants.
Citation
Thomas M. Cover. "On Determining the Irrationality of the Mean of a Random Variable." Ann. Statist. 1 (5) 862 - 871, September, 1973. https://doi.org/10.1214/aos/1176342507
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