A simple hermitian estimator of the quantile mjnction

References

• Hodges , J. L. Jr. 1967 . Efficiency in normal samples and tolerance of extreme values for some estimates of location . Proc. 5th Berkeley Symp. , 1 : 163 – 186 .
   Google Scholar
• Hodges , J. L. Jr. and Lehmann , E. L. 1967 . On medians and quasimediaus . J. Amer. Statist. Assoc. , 62 : 926 – 931 .
   Web of Science ®Google Scholar
• Parzen , E. 1979 . Nonparametric statistical data modeling . J. Amer. Statist. Assoc. , 74 : 105 – 121 .
   Web of Science ®Google Scholar
• Davis , C. E. and Steinberg , S. M. 1986 . “ Estimation of quantiies. ” . In Encyclopedia of Stat'l Sci. , Edited by: Kotz , S. , Johnson , N. L. and Read , C. B. Vol. 6 , 408 – 412 . Wiley . (Exec. Ed.)
   Google Scholar
• Keating , J. P. and Tripathi , R. C. 1985 . “ Estimation of quantiies. ” . In Encyclopedia of Stat'l Sci. , Edited by: Kotz , S. , Johnson , N. L. and Read , C. B. Vol. 6 , 668 – 674 . Wiley . (Exec. Ed.)
   Google Scholar
• Tukey , J. W. 1977 . Exploratory Data Analysis , Reading, MA : Addison-Wesley Publishing Company .
   Google Scholar
• Andrews , D. F. , Bickel , P. J. , Hampel , F. R. , Huber , P. J. , Rogers , W. H. and Tukey , J. W. 1972 . Prinaton : Princeton University Press . Robust Estimates of Location
   Google Scholar
• Mudholkar , G. S. and Patel , K. R. 1979 . Some remarks on two quick estimators of location. . J. Indian Statist. Assoc. , 17 : 197 – 209 .
   Google Scholar
• Patel , K. R. , Mudholkar , G. S. and Fernando , J. L. 1988 . Student's t approximations for three simple robust estimators . J. Amer. Statist. Assoc. , 83 : 1203 – 1210 .
   Web of Science ®Google Scholar
• Srivastava , D. K. , Mudholkar , G. S. and Mudholkar , A. 1992 . Assessing the significance of differenct between two quick estimates of location . J. Appl. Statist. , 19 : 405 – 416 .
   Google Scholar
• Sheather , S. J. and Marron , J. S. 1990 . Kernel quantile estimators . J. Amer. Statist. Asoc. , 85 : 410 – 416 .
   Web of Science ®Google Scholar
• Reiss , R.-D. 1980 . Estimation of quantiles in artain nonparametric models . Ann. Math. Statist. , 8 : 87 – 105 .
   Google Scholar
• Reiss , R.-D. 1989 . Approximate Distributions of Order Statistics: With Applications to Nonparmnetric Statistics. , New York : Springer-Verlag .
   Google Scholar
• Hunyh , H. T. 1993 . Accurate monotone cubic interpolation . SIAM J. Numer. Anal. , 30 : 57 – 100 .
   Web of Science ®Google Scholar
• Kaur , A. , Patil , G. P. and Taillie , C. “ Optimal allocation for symmetric distributions in ranked set sampling ” . In Annals of the Institute of Statistical Mathematics Under Revision
   Google Scholar
• Kaur , A. , Patil , G. P. and Taillie , C. “ Ranked set sample sign test under unequal allocation ” . In Journal of Statistical Planning and Inference Under Revision
   Google Scholar
• Kvam , P. H. and Samaniego , F. J. 1994 . Nonparametric maximum likelihood estimation based on ranked set samples . Journal of the American Statistical t Associations , 89 : 526 – 537 .
   Web of Science ®Google Scholar
• [Macute]clntyre , G. A. 1952 . A method of unbiased selective sampling, using ranked sets . Australian Journal of Agriculture Research , 3 : 385 – 390 .
   Google Scholar
• Shen , W. H. 1994 . Use of ranked set sampling for test of a normal mean . Calcutta Statistical Association Bulletin , 44 : 183 – 193 .
   Google Scholar
• Stokes , S. L. 1980 . Estimation of variance using judgment ordered ranked-set samples . Biometrics , 36 : 35 – 42 .
   Web of Science ®Google Scholar
• Stokes , S. L. 1995 . Parametric ranked set sampling . Annals of the Institute of Statistical Mathematics , 47 ( 3 ) : 465 – 482 .
   Web of Science ®Google Scholar
• Stokes , S. L. and Sager , T. W. 1988 . Characterization of a ranked-set sample with application to estimating distribution functions . Journal of the American Statistical Association , 83 ( 3 ) : 374 – 381 .
   Web of Science ®Google Scholar
• Takahasi , K. and Wakimoto , K. 1968 . On unbiased estimates of the population mean based on the sample stratified by means of ordering . Annals of the Institute of Statistical Mathematics , 30 ( 3 ) : 814 – 824 .
   Google Scholar
• Tiwari , R. C. 1988 . Estimation of a distribution function under nomination sampling . IEEE Transaction on Reliability , 35 ( 3 ) : 558 – 561 .
   Web of Science ®Google Scholar
• Tiwari , R. C. and Wells , M. T. 1989 . Quantile estimation based on nomination sampling . IEEE Transaction on Reliability , 38 ( 3 ) : 612 – 614 .
   Web of Science ®Google Scholar
• Willemain , T. R. 1980 . Estimating the population median by nomination sampling . Journal of the American Statistical Association , 75 ( 3 ) : 908 – 911 .
   PubMed Web of Science ®Google Scholar