Non-parametric inferences based on general unbalanced ranked-set samples

References

• Bonn , L. L. and Wolfe , D. A. 1992 . Nonparametric two-sample procedures for ranked-set samples data . Journal of the American Statistical Association , 87 : 552 – 561 .
   Web of Science ®Google Scholar
• Boyles , R. A. and Samaniego , F. J. 1987 . On estimating component reliability for systems with random redundancy levels . IEEE Transactions on Reliability , R-36 : 403 – 407 .
   Web of Science ®Google Scholar
• Chen , Z. “ The optimal ranked-sct sampling scheme for inference on population quantiles ” . In Statistica Sinica Accepted
   Google Scholar
• Chen , Z. 1999 . Density estimation using ranked-set sampling data . Environmental and Ecological Statistics , 6 : 135 – 146 .
   Web of Science ®Google Scholar
• Chen , Z. 2000a . The efficiency of ranked-set sampling relative to simple random sampling under multi-parameter families . Statistica Sinica , 10 : 247 – 263 .
   Web of Science ®Google Scholar
• Chen , Z. 2000b . On ranked-set sample quantiles and their applications . Journal of Statistical Planning and Inference , 83 : 125 – 135 .
   Web of Science ®Google Scholar
• Chen , Z. and Bai , Z. H. “ The optimal ranked-set sampling scheme for parametric families ” . In Sankaya Series A To appear
   Google Scholar
• Dell , T. R. and Clutter , J. L. 1972 . Ranked set sampling theory with order statistics background . Biometrics , 28 : 545 – 555 .
   Web of Science ®Google Scholar
• Hettmansperger , T. P. 1995 . The ranked-set sampling sign test . Non-parametric Statistics , 4 : 263 – 270 .
   Google Scholar
• Hoyland , A. and Rausand , M. 1994 . System Reliability Theory , New York : John Wiley & Sons, INC .
   Google Scholar
• Kaur , A. , Patil , G. P. and Taillie , C. 1997 . Unequal allocation models for ranked set sampling with skew distributions . Biometrics , 53 : 123 – 130 .
   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
• Yu , P. L. H. , Lam , K. and Sinha , B. K. 1997 . Estimation of mean based on unbalanced ranked set samples . Applied Statistical Science , II ( 3 ) : 87 – 97 .
   Google Scholar
• Yu , P. L. H. , Lam , K. and Sinha , B. K. 1999 . Estimation of variance based on balanced and unbalanced ranked set samples . Environmental and Ecological Statistics , 6 ( 3 ) : 23 – 45 .
   Web of Science ®Google Scholar