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Statistics
A Journal of Theoretical and Applied Statistics
Volume 38, 2004 - Issue 1
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Miscellany

Sharp bounds on the expectations of second record values from symmetric populations

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Pages 49-57 | Received 17 Jul 2002, Accepted 12 Aug 2003, Published online: 11 Oct 2011

References

  • Arnold , B. C. (1985) . p-Norm bounds on the expectation of the maximum of a possibly dependent sample . J. Multivariate Anal. , 17 : 316 – 332 .
  • Arnold B. C. Balakrishnan N. Nagaraja H. N. (1998) Records John Wiley New York
  • Dziubdziela , W. and Kopociński , B. (1976) . Limiting properties of the k-th record values . Appl. Math. (Warsaw) , 15 : 187 – 190 .
  • Gajek , L. and Okolewski , A. (1997) . Steffensen-type inequalities for order statistics and record statistics . Annales Univ. Mariae Curie-Sklodowska Lublin-Polonia , LI.1 ( 6 ) : 41 – 59 .
  • Grudzień Z. Szynal D. (1985) On the expected values of k-th record values and associated characterizations of distributions In: Konecny, F., Mogyoródy, J., Wertz, W. (Eds.) Probability and Statistical Decision Theory Vol. A Reidel Dordrecht 119 127
  • Gumbel , E. J. (1954) . The maxima of the mean largest value and range . Ann. Math. Statist. , 25 : 76 – 84 .
  • Hartley , H. O. and David , H. A. (1954) . Universal bounds for mean range and extreme observation . Ann. Math. Statist. , 25 : 85 – 99 .
  • Moriguti , S. (1953) . A modification of Schwarz’s inequality with applications to distributions . Ann. Math. Statist. , 24 : 107 – 113 .
  • Nagaraja , H. N. (1978) . On the expected values of record values . Austral. J. Statist. , 20 : 176 – 182 .
  • Raqab , M. Z. (1997) . Bounds based on greatest convex minorants for moments of record values . Statist. Probab. Lett. , 36 : 35 – 41 .
  • Raqab , M. Z. (2000) . On the moments of record values . Commun. Statist. – Theory Meth. , 29 : 1631 – 1647 .
  • Raqab , M. Z. and Rychlik , T. (2002) . Sharp bounds for the moments of record statistics . Commun. Statist. – Theory Meth. , 31 ( 11 ) : 1927 – 1938 .
  • Rychlik , T. (1993) . Sharp bounds on L-estimates and their expectations for dependent samples . Commun. Statist. – Theory Meth. , 22 : 1053 – 1068 .
  • Rychlik T. (2001) Projecting Statistical Functionals Lectures Notes in Statistics, Vol. 160 Springer-Verlag New York

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