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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Comparing the distribution of various suprema on two-parameter Wiener space
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by Ian Pierce and David Skoug PDF
Proc. Amer. Math. Soc. 141 (2013), 2149-2152 Request permission

Abstract:

Let $Q=[0,S]\times [0,T]$ and let $C_2(Q)$ be two-parameter Wiener space. In this note we consider the ratios of the probabilities $\mathbb {P}[x(S,T)\geq c]$, $\mathbb {P}[\sup _{Q} x(s,t)\geq c]$ and $\mathbb {P}[\sup _{\partial Q} x(s,t)\geq c]$.
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Additional Information
  • Ian Pierce
  • Affiliation: Department of Mathematics, University of Nebraska, Lincoln, Nebraska 68588
  • Address at time of publication: Department of Mathematics, Statistics & Computer Science, St. Olaf College, Northfield, Minnesota 55057
  • Email: s-ipierce1@math.unl.edu, pierce@stolaf.edu
  • David Skoug
  • Affiliation: Department of Mathematics, University of Nebraska, Lincoln, Nebraska 68588
  • Email: dskoug1@math.unl.edu
  • Received by editor(s): January 13, 2011
  • Received by editor(s) in revised form: October 7, 2011
  • Published electronically: February 12, 2013
  • Additional Notes: The authors wish to acknowledge the recommendations of an anonymous referee, whose advice helped to significantly shorten and clarify the arguments presented here.
  • Communicated by: Richard C. Bradley
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 2149-2152
  • MSC (2010): Primary 60G15, 60G17, 60G40
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11497-8
  • MathSciNet review: 3034441