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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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On exceedances of record and order statistics
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by I. G. Bairamov and M. K. Khan PDF
Proc. Amer. Math. Soc. 135 (2007), 1935-1945 Request permission

Abstract:

Exact, limiting distributions along with their rates of convergence of exceedance statistics for both order statistics and record statistics are provided when the underlying distribution is arbitrary. The exact distribution of record statistics for arbitrary underlying distributions is obtained as well.
References
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Additional Information
  • I. G. Bairamov
  • Affiliation: Department of Mathematics, Izmir University of Economics, Izmir, Turkey
  • M. K. Khan
  • Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio, 44242
  • Email: kazim@math.kent.edu
  • Received by editor(s): July 27, 2004
  • Received by editor(s) in revised form: March 27, 2006
  • Published electronically: February 9, 2007
  • Communicated by: Edward C. Waymire
  • © Copyright 2007 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 1935-1945
  • MSC (2000): Primary 62G30; Secondary 62E20
  • DOI: https://doi.org/10.1090/S0002-9939-07-08734-5
  • MathSciNet review: 2286107