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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Some results on increments of the partially observed empirical process
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by Zacharie Dindar PDF
Trans. Amer. Math. Soc. 353 (2001), 427-440 Request permission

Abstract:

The author investigates the almost sure behaviour of the increments of the partially observed, uniform empirical process. Some functional laws of the iterated logarithm are obtained for this process. As an application, new laws of the iterated logarithm are established for kernel density estimators.
References
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Additional Information
  • Zacharie Dindar
  • Affiliation: L.S.T.A., Université Paris VI, 45 rue Vineuse, 75016 Paris, France
  • Email: dindar@ccr.jussieu.fr
  • Received by editor(s): March 26, 1999
  • Received by editor(s) in revised form: April 26, 2000
  • Published electronically: October 23, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 427-440
  • MSC (2000): Primary 60F17; Secondary 62G07
  • DOI: https://doi.org/10.1090/S0002-9947-00-02736-7
  • MathSciNet review: 1804505