Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Reinforced random walks and random distributions
HTML articles powered by AMS MathViewer

by R. Daniel Mauldin and S. C. Williams PDF
Proc. Amer. Math. Soc. 110 (1990), 251-258 Request permission

Abstract:

Consider a classical Polya urn process on a complete binary tree. This process generates an exchangeable sequence of random variables ${Z_n}$, with values in $[0,1]$. It is shown that the empirical distribution $^\# \{ i \leq n:{Z_i} \leq s\} /n$ converges weakly and the distribution of this limit is the same as a standard Dubins-Freedman random distribution. As an application, the variance of the first moment of these Dubins-Freedman distributions is calculated.
References
Similar Articles
Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 251-258
  • MSC: Primary 60A99; Secondary 60C05, 60G09, 62A15
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1012934-1
  • MathSciNet review: 1012934