101
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Note on distribution-free estimation of maximum linear separation of two multivariate distributions

, , &
Pages 145-158 | Published online: 20 Aug 2006

References

  • Kotz , S. , Lumelskii , Y. and Pensky , M. 2003 . The Stress-Strength Model and its Generalizations: Theory and Applications , London : World Scientific Publishing .
  • Hsieh , F. and Turnbull , B. W. 1996 . Nonparametric and semiparametric estimation of the receiver operating characteristic curve . Annals of Statistics , 24 : 25 – 40 .
  • Troendle , J. F. 2002 . A likelihood ratio test for the nonparametric Behrens–Fisher problem . Biometrical Journal, , 44 : 813 – 824 .
  • Liu , A. , Schisterman , E. F. and Zhu , Y. 2005 . On linear combinations of biomarkers to improve diagnostic accuracy . Statistics in Medicine , 24 : 37 – 47 .
  • Pepe , M. S. and Thompson , M. L. 2000 . Combining diagnostic test results to increase accuracy . Biostatistics , 1–2 : 123 – 140 .
  • Reiser , B. and Faraggi , D. 1997 . Confidence intervals for the generalized ROC criterion . Biometrics , 53 : 644 – 652 .
  • Su , J. Q. and Liu , J. S. 1993 . Linear combinations of multiple diagnostic markers . Journal of American Statistical Association , 88 : 1350 – 1355 .
  • Lloyd , C. J. 1998 . Using smoothed receiver operating characteristic to summarize and compare diagnostic systems . Journal of the American Statistical Association , 93 : 1356 – 1364 .
  • Peng , L. and Zhou , X. 2004 . Local linear smoothing of receiver operating characteristic (ROC) curves . Journal of Statistical Planning and Inference , 118 : 129 – 143 .
  • Yang , S. S. 1985 . A smooth nonparametric estimator of a quantile function . Journal of the American Statistical Association , 80 : 1004 – 1011 .
  • Birnbaum , Z. W. and McCarty , R. C. 1958 . A distribution-free upper confidence bound for Pr{Y<X}, based on independent samples of X and Y . Annals of Mathematics Statistics , 29 : 558 – 562 .
  • Owen , D. B. , Craswell , K. S and Hanson , D. L. 1964 . “ Nonparametric upper confidence bounds for Pr {Y<X} and confidence limits for Pr {Y<X} when X and Y are normal ” . In Journal of the American Statistical Association Vol. 59 , 906 – 924 .
  • Sprent , P. 1989 . Applied Nonparametric Statistical Methods , London : Chapman & Hall .
  • Govindarajulu , Z. 1968 . Distribution-free confidence bounds for P(X<Y) . Annals of the Institute of Statistical Mathematics , 20 : 229 – 238 .
  • Schisterman , E. F. , Faraggi , D. , Browne , R. , Freudenheim , J. , Dorn , J. , Muti , P. , Armstrong , D. , Reiser , B. and Trevisan , M. 2001 . TBARS and cardiovascular disease in a population-based sample . Journal of Cardiovascular Risk, , 8 : 1 – 7 .

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.