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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A measure which is singular and uniformly locally uniform
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by David Freedman and Jim Pitman PDF
Proc. Amer. Math. Soc. 108 (1990), 371-381 Request permission

Abstract:

An example is given of a singular measure on $[0,1]$ which is locally nearly uniform in the weak star topology. If this measure is used as a prior to estimate an unknown probability in coin tossing, the posterior is asymptotically normal.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 108 (1990), 371-381
  • MSC: Primary 28A12; Secondary 62F12, 62F15
  • DOI: https://doi.org/10.1090/S0002-9939-1990-0990427-5
  • MathSciNet review: 990427