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Variance bound of function of order statistics

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Publication:1186026
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DOI10.1016/0167-7152(92)90232-TzbMath0743.62038MaRDI QIDQ1186026

Ma Chunsheng

Publication date: 28 June 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)


zbMATH Keywords

variance boundPapathanasiou's inequalityvariance of order statistics


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30)


Related Items (8)

Correlations between functions of records can be negative ⋮ Extreme variances of order statistics in dependent samples ⋮ Moments of functions of order statistics ⋮ A Note on the Upper Bound to Variance of the Sample Extreme from a Finite Population ⋮ NONNEGATIVITY OF COVARIANCES BETWEEN FUNCTIONS OF ORDERED RANDOM VARIABLES ⋮ Multistage ranked set sampling ⋮ Some results on covariance of function of order statistics ⋮ A counterexample to a conjecture on order statistics



Cites Work

  • A characterization of rectangular distributions
  • On a characterization of rectangular distributions
  • Variance bounds using a theorem of Polya
  • Some characterizations of distributions based on order statistics
  • Association of Random Variables, with Applications
  • Unnamed Item




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