28
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Estimating quantiles using optimally selected order statistics

, , &
Pages 2261-2271 | Received 01 Feb 1983, Published online: 27 Jun 2007

Bibliography

  • Ali , M. Masoom , Umbach , D. and Saleh , A.K.Md. E. 1982 . Small sample quantile estimation of the exponential distribution using optimal spacings . Sankhyäseries B , 44 ( 2 ) : 135 – 142 .
  • Ali , M. Masoom , Umbach , D. and Hassanein , K.M. 1981 . Estimation of quantles of exponential and double exponential distributions based on two order statistics . Comman . Statist-Theor. Meth , A10 ( 19 ) : 1921 – 1932 .
  • Ali , M. Masoom , Umbach , D. and Hassanein , K.M. 1981 . Small sample quantile estimation of Pareto populations using two order statistics . AZigarh J. Statist , 1 ( 2 ) : 139 – 164 .
  • Ali M. Masoom Umbach D. Saleh A.K.Md.E. Tests of significance for the exponential distribution based on selected quantiles 1983 Submitted for publication
  • Chernoff , H. , Gastwirth , J.L. and Johns , M.V. 1967 . Asymptotic distribution of linear combinations of functions of order statistics with applications t o estimation . Ann. Math. Statist , 38 ( 2 ) : 52 – 72 .
  • Csorg , M. and Revesz , P. 1981 . Strong Approzimations in Probability and Statistics , New York : Academic Press .
  • Eubank , R.L. 1981 . A density-quantilc function approach t o optimal spacing selection . Ann. Statist , 9 ( 3 ) : 494 – 500 .
  • Eubank , R.L. 1981 . Estimation of the parameters and quantiles of the logistic distribution by linear functions of sample quantiles . Scand. Actuarial J , 9 ( 3 ) : 229 – 236 .
  • Hassanein , K.M. 1972 . Simultaneous estimation of the parameters of the extreme value distribution by sample quantiles . Technometrics , 14 ( 1 ) : 63 – 70 .
  • Hassanein , K.M. 1969 . Estimation of the parameters of the extreme value distribution by use of two or three order statistics . Biometrika , 56 ( 2 ) : 429 – 436 .
  • Koutrouvelis , I.A. 1981 . Large-sample quantile estimation in Pareto Laws . Comun. Statist. -Theor. Meth , A10 ( 2 ) : 189 – 201 .
  • Kubat , P. and Epstein , B. 1980 . Estimation of quantiles of location-scale distributions based on two or three order statistics . Technometrics , 22 ( 2 ) : 575 – 581 .
  • Kulldorff , G. 1963 . Estimation of one or two parameters of exponential distribution on the basis of suitably chosen order statistics . Ann. Math. Statist , 34 ( 2 ) : 1419 – 1431 .
  • Mosteller , F. 1946 . On some useful inefficient statistics . Ann. Math. Statist , 17 ( 2 ) : 377 – 408 .
  • Ogawa , J. 1951 . Contributions to the theory of systematic statistics . Osaka Math. J , 3 ( 2 ) : 175 – 213 .
  • Parzen , E. 1979 . Nonparametric statistical data modelling . J. Amer. Statist.Assoc , 74 ( 2 ) : 105 – 121 .
  • Parzen , E. 1978 . “ A density-quantile function perspective on robust estimation ” . In Robustness in Statistics , Edited by: Launer , R.L. and Wilkinson , G.N. 237 – 258 . New York : Academic Press .
  • Reiss , R.D. 1980 . Estimation of quantiles in certain nonparametric models . Ann. Statist , 8 : 87 – 105 .
  • Renyi , A. 1953 . On the theory of order statistics . Acta. Math. Acad. Sci. Hung , 4 : 191 – 231 .
  • Robertson , C.A. 1977 . Estimation of quantiles of exponential distributions with minimum error in predicted distribution functions . J. Amer. Statist. Assoc , 72 : 162 – 164 .
  • Saleh A.K.Md.E. Masoom Ali M. Umbach D. Estimating the quantile function of location-scale family of distributions based on few selected order statistics J. Statist . Plann Infer 1982 (Accepted for publication)
  • Saleh A.K.Md.E. Masoom Ali M. Umbach D. Large sample estimation of Pareto quantiles using selected order statistics Metrika 1982 (Accepted for publication)
  • Saleh , A.K.Md. E. 1981 . Estimating quantiles of exponential distribution.Statistics and Related Topica , Edited by: Csorgo , M. , Dawson , D. , Rao , J.N.K. and Saleh , A.K.Md. E. 279 – 283 . North Holland Publishing .
  • Saleh , A.K.md.E and Ali , M.M. 1966 . Asymptotic optimum (plantiles f o r the estimation of the parameters of the negative exponential distribution . Ann. Math. Statist , 37 : 143 – 151 .
  • Sarhan , A.E. 1962 . Contributions to Order Statistics , Edited by: Greenberg , B.G. New York : John Wiley and Sons,Inc .
  • Umbach , D. , Masoom , Ali M. and Hassanein , K.M. 1981 . Small sample estimation of exponential quantiles with two order statitics . Aligarh J. Statist , 1 ( 2 ) : 113 – 120 .
  • Umbach , D. , Masoom , Ali M. and Hassanein , K.M. 1981 . Estimating Pareto quantiles using two order statistics . Comrnun. Statist.Theor. Meth , A10 ( 19 ) : 1933 – 1941 .

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.