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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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Limit distributions of the minimax of independent identically distributed random variables
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by Herman Chernoff and Henry Teicher PDF
Trans. Amer. Math. Soc. 116 (1965), 474-491 Request permission

Abstract:

The class of limiting distributions of the normalized minimax (or maximin) of independent identically distributed random variables is obtained and the domains of attraction of the three limiting types are characterized. Asymptotic independence of the minimax and maximin is also demonstrated.
References
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 116 (1965), 474-491
  • MSC: Primary 60.30
  • DOI: https://doi.org/10.1090/S0002-9947-1965-0185640-3
  • MathSciNet review: 0185640