Adaptive Robust Procedures for the One-Sample Location Problem

References

• Bauer , D. F. 1972 . “Constructing Confidence Sets Using Rank Statistics,” . Journal of the American Statistical Association , 67 September : 687 – 90 .
   Web of Science ®Google Scholar
• Beran , R. 1974 . “Asymptotically Efficient Adaptive Rank Estimates in Location Models,” . Annals of Statistics , 2 January : 63 – 74 .
   Web of Science ®Google Scholar
• Bickel , P. J. 1965 . “On Some Robust Estimates of Location,” . Annals of Mathematical Statistics , 36 June : 847 – 58 .
   Google Scholar
• Fisher , R. A. 1920 . “A Mathematical Examination of the Methods of Determining the Accuracy of an Observation by the Mean Error and by the Mean Square Error,” . Monthly Notices of the Royal Astronomical Society , 80 ( No. 8 ) : 758 – 70 .
   Google Scholar
• Gastwirth , J. L. 1965 . “Percentile Modified Rank Tests,” . Journal of the American Statistical Association , 60 December : 1127 – 11 .
   Web of Science ®Google Scholar
• Gastwirth , J. L. “On Robust Rank Tests,” . Proceedings of the First International Symposium on Nonparametric Techniques in Statistical Inference . Cambridge : University Press .
   Google Scholar
• Gastwirth , J. L. 1970 . “On Asymptotic Relative Efficiencies of a Class of Rank Tests,” . Journal of the Royal Statistical Society, Ser. B , 32 ( No. 2 ) : 227 – 32 .
   Google Scholar
• Hajek , J. 1969 . Nonparametric Statistics , San Francisco : Holden-Day, Inc. .
   Google Scholar
• Hajek , J. and Sidak , Z. 1967 . Theory of Rank Tests , New York : Academic Press Inc. .
   Google Scholar
• Hodges , J. L. Jr. and Lehmann , E. L. 1963 . “Estimates of Location Based on Rank Tests,” . Annals of Mathematical Statistics , 34 June : 598 – 611 .
   Google Scholar
• Hogg , R. V. 1974 . “Adaptive Robust Procedures: A Partial Review and Some Suggestions for Future Applications and Theory,” . Journal of the American Statistical Association , 69 December : 909 – 23 .
   Web of Science ®Google Scholar
• Huber , P. J. 1972 . “Robust Statistics: A Review,” . Annals of Mathematical Statistics , 43 August : 1041 – 67 .
   Google Scholar
• Jaeckel , L. A. 1971 . “Some Flexible Estimates of Location,” . Annals of Mathematical Statistics , 42 October : 1540 – 55 .
   Google Scholar
• Lehmann , E. L. 1963 . “Nonparametric Confidence Intervals for a Shift Parameter,” . Annals of Mathematical Statistics , 34 December : 1507 – 12 .
   Google Scholar
• Mielke , P. W. Jr. 1972 . “Asymptotic Behavior of Two-Sample Tests Based on Powers of Ranks for Detecting Scale and Location Alternatives,” . Journal of the American Statistical Association , 67 December : 850 – 4 .
   Web of Science ®Google Scholar
• Noether , G. E. 1955 . “On a Theorem of Pitman,” . Annals of Mathematical Statistics , 26 February : 64 – 8 .
   Google Scholar
• Noether , G. E. 1973 . “Some Simple Distribution-Free Confidence Intervals for the Center of a Symmetric Distribution,” . Journal of the Americal Statistical Association , 68 September : 716 – 9 .
   Web of Science ®Google Scholar
• Policello , G. 1974 . “Adaptive Robust Procedures for the One Sample Location Problem,” , Department of Statistics, The Pennsylvania State University . Unpublished Dissertation
   Google Scholar
• Puri , M. L. and Sen , P. K. 1971 . Nonparametric Methods in Multivariate Analysis , New York : John Wiley & Sons, Inc. .
   Google Scholar
• Randles , R. H. and Hogg , R. V. 1973 . “Adaptive Distribution-Free Tests,” . Communications in Statistics , 2 October : 337 – 56 .
   Google Scholar
• Randles , R. H. , Romberg , J. S. and Hogg , R. V. 1973 . “An Adaptive Procedure for Selecting the Population with Largest Location Parameter,” . Technometrics , 15 November : 769 – 78 .
   Web of Science ®Google Scholar
• Sen , P. K. 1966 . “On a Distribution-Free Method of Estimating Asymptotic Efficiency of a Class of Non-Parametric Tests,” . Annals of Mathematical Statistics , 37 December : 1759 – 70 .
   Google Scholar
• van Eeden , C. 1970 . “Efficiency Robust Estimation of Location,” . Annals of Mathematical Statistics , 41 February : 172 – 81 .
   Google Scholar
• van Eeden , C. 1972 . “An Analogue for Signed Rank Statistics of Jureckova's Asymptotic Linearity Theorem for Rank Statistics,” . Annals of Mathematical Statistics , 43 June : 791 – 802 .
   Google Scholar
• van Zwet , W. R. 1964 . Convex Transformations of Random Variables , Amsterdam : Mathematical Centre .
   Google Scholar