Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 47, 2013 - Issue 2
175
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Maximum variance of order statistics from symmetric populations revisited

&
Pages 422-438 | Received 17 Oct 2010, Accepted 29 Nov 2011, Published online: 16 Jan 2012

References

  • Navarro , J. , Samaniego , F. J. , Balakrishnan , N. and Bhattacharya , D. 2008 . On the application and extension of system signatures to problems in engineering reliability . Naval Res. Logist. , 55 : 313 – 327 . (doi:10.1002/nav.20285)
  • Moriguti , S. 1951 . Extremal properties of extreme value distributions . Ann. Math. Statist. , 22 : 523 – 536 . (doi:10.1214/aoms/1177729542)
  • Yang , H. 1982 . On the variances of median and some other order statistics . Bull. Inst. Math. Acad. Sinica , 10 : 197 – 204 .
  • Lin , G. and Huang , J. 1989 . Variances of sample medians . Statist. Probab. Lett. , 8 : 143 – 146 . (doi:10.1016/0167-7152(89)90007-2)
  • Papadatos , N. 1997 . A note on maximum variance of order statistics from symmetric populations . Ann. Inst. Statist. Math. , 49 : 117 – 121 . (doi:10.1023/A:1003166723078)
  • Papadatos , N. 1995 . Maximum variance of order statistics . Ann. Inst. Statist. Math. , 47 : 185 – 193 . (doi:10.1007/BF00773423)
  • Jasiński , K. , Navarro , J. and Rychlik , T. 2009 . Bounds on variances of lifetimes of coherent and mixed systems . J. Appl. Probab. , 46 : 894 – 908 . (doi:10.1239/jap/1253279857)
  • Beśka , M. , Jasiński , K. , Rychlik , T. and Spryszyński , M. 2011 . Mixed systems with minimal and maximal lifetime variances . Metrika , doi:10.1007/s 00184-011-0357-5.
  • Rychlik , T. 2001 . Projecting Statistical Functionals , New York : Springer . Lecture Notes in Statistics, Vol. 160
  • Schoenberg , I. J. On Variation Diminishing Approximation Methods . On Numerical Approximation: Proceedings of a Symposium, Madison, 1958 . Edited by: Langer , R. E. pp. 249 – 274 . Madison , WI : University of Madison Press .
  • Karlin , S. and Studden , W. J. 1966 . Tchebyshev Systems: With Applications in Analysis and Statistics , New York : Wiley-Interscience .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.