Robustness properties for a simple class of rank estimates

References

• Andrews , D. F. , Bickel , P. J. , Hampel , R. F. , Huber , P. J. , Rogers , W. H. and Tukey , J. W. 1972 . Robust Estimates of Location: Survey and Advances , New Jersey : Princeton University Press .
   Google Scholar
• Bickel , P. J. and Lehmann , E. L. 1975 . Descriptive statistics for nonparametric models, II. Location . Ann. Statist. , 3 : 1045 – 1069 .
   Web of Science ®Google Scholar
• Gastwirth , J. L. 1965 . Percentile modified rank tests . J. Amer. Statist. Assoc. , 60 : 1127 – 1141 .
   Web of Science ®Google Scholar
• Gastwirth , J. L. 1966 . On robust procedures . J. Amer. Statist. Assoc. , 61 : 929 – 948 .
   Web of Science ®Google Scholar
• Hájek , J. and Šidák , Z. 1967 . Theory of Rank Tests , New York : Academic Press Inc. .
   Google Scholar
• Hampel , F. R. 1971 . A general qualitative definition of robustness . Ann. Math. Statist. , 42 : 1887 – 1896 .
   Google Scholar
• Hampel , F. R. 1974 . The influence curve and its role in robust estimation . J. Amer. Statist. Assoc. , 69 : 383 – 393 .
   Web of Science ®Google Scholar
• Hettmansperger , T. P. and Mc Kean , J. W. 1977 . A robust alternative based on ranks to least squares in analyzing linear models . Technometrics , To appear
   Google Scholar
• Hodges , J. L. Jr. 1967 . Proc. 5th Berkeley Symp. Math. Statist. Prob. . Efficiency in normal samples and tolerance of extreme values for some estimates of location . 1967 . Vol. 1 , pp. 163 – 186 . Berkeley : University of California Press .
   Google Scholar
• Hodges , J. L. Jr. and Lehmann , E. L. 1963 . Estimates of location based on rank tests . Ann. Math. Statist. , 34 : 598 – 611 .
   Google Scholar
• Huber , P. J. 1964 . Robust estimation of a location parameter . Ann. Math. Statist. , 35 : 73 – 101 .
   Google Scholar
• Huber , P. J. 1972 . Robust statistics: a review . Ann. Math. Statist. , 43 : 1041 – 1067 .
   Google Scholar
• Huber , P. J. 1976 . NSF Regional Conference . Notes on robustness . 1976 . Iowa City : University of Iowa .
   Google Scholar
• Jaeckel , L. A. 1971 . Robust estimates of location: symmetry and asymmetric contamination . Ann. Math. Statist. , 42 : 1020 – 1034 .
   Google Scholar
• Mc Kean , J. W. and Ryan , T. A. Jr. 1976 . An algorithm for obtaining confidence intervals and point estimates based on ranks in the two sample location problem . Trans. Math. Software , To appear
   Google Scholar
• Policello , G. E. and Hettmansperger , T. P. 1976 . Adaptive robust procedures for the one-sample location problem . J. Amer. Statist. Assoc. , 71 : 624 – 633 .
   Web of Science ®Google Scholar
• Stigler , S. M. 1973a . The asymptotic distribution of the trimmed mean . Ann. Statist. , 1 : 472 – 477 .
   Web of Science ®Google Scholar
• Stigler , S. M. 1973b . Simon Newcomb, Percy Daniell, and the history of robust estimation 1885-1920 . J. Amer. Statist. Assoc. , 68 : 872 – 879 .
   Web of Science ®Google Scholar
• Tukey , J. W. 1960 . “ Contributions to Probability and Statistics ” . In A survey of sampling from contaminated distributions , Edited by: Olkin , I. Stanford, Ca : Stanford University Press .
   Google Scholar
• Tukey , J. W. 1970 . Exploratory Data Analysis , Edited by: Prelim , Limited . Reading, Mass : Addison-Wesley .
   Google Scholar