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Rates of convergence for the stability of large order statistics

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Publication:1356609
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DOI10.1007/BF02214253zbMath0885.60025MaRDI QIDQ1356609

R.James Tomkins

Publication date: 1 April 1998

Published in: Journal of Theoretical Probability (Search for Journal in Brave)


zbMATH Keywords

order statisticsrates of convergencealmost sure stabilityi.i.d. random variables


Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)


Related Items (2)

Multivariate stability and strong limiting behaviour of intermediate order statistics ⋮ Regular stability of large order statistics




Cites Work

  • Complete stability of large order statistics
  • Regular variation and the stability of maxima
  • The strong law of large numbers when extreme terms are excluded from sums
  • A Note on a Paper of Barnes and Tucker
  • Convergence Rates in the Law of Large Numbers
  • Almost sure stability of maxima
  • Stability of maxima of random variables defined on a Markov chain
  • On the Limit Behaviour of Extreme Order Statistics




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