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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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Tightness bounds for strongly mixing random sequences
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by Richard C. Bradley PDF
Proc. Amer. Math. Soc. 128 (2000), 1481-1486 Request permission

Abstract:

For a given strictly stationary, strongly mixing random sequence for which the distributions of the partial sums are tight, certain “tightness bounds" exist which depend only on the marginal distribution and the mixing rate.
References
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Additional Information
  • Richard C. Bradley
  • Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405-5701
  • Email: bradleyr@indiana.edu
  • Received by editor(s): June 25, 1998
  • Published electronically: October 5, 1999
  • Additional Notes: This work was partially supported by NSF grant DMS 9703712.
  • Communicated by: Stanley Sawyer
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 1481-1486
  • MSC (2000): Primary 60G10; Secondary 60G07
  • DOI: https://doi.org/10.1090/S0002-9939-99-05404-0
  • MathSciNet review: 1676307