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On Cover's Consistent Estimator

Jack Koplowitz, Jeffrey E. Steif and Olle Nerman
Scandinavian Journal of Statistics
Vol. 22, No. 3 (Sep., 1995), pp. 395-397
Stable URL: http://www.jstor.org/stable/4616368
Page Count: 3
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On Cover's Consistent Estimator
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Abstract

Tom Cover has shown that there is an estimator to determine whether the parameter of a coin is rational or irrational which is consistent for all rationals and also for all irrationals except for a set of Lebesgue measure 0. Here we show that this set of parameters, for which this estimator is consistent, is however of first category and hence topologically negligible (although measure theoretically everything).

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