On Determining the Irrationality of the Mean of a Random Variable
Cover, Thomas M.
Ann. Statist., Tome 1 (1973) no. 2, p. 862-871 / Harvested from Project Euclid
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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.
Publié le : 1973-09-14
Classification:  
@article{1176342507,
     author = {Cover, Thomas M.},
     title = {On Determining the Irrationality of the Mean of a Random Variable},
     journal = {Ann. Statist.},
     volume = {1},
     number = {2},
     year = {1973},
     pages = { 862-871},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176342507}
}

Cover, Thomas M. On Determining the Irrationality of the Mean of a Random Variable. Ann. Statist., Tome 1 (1973) no. 2, pp.  862-871. http://gdmltest.u-ga.fr/item/1176342507/