13
Views
2
CrossRef citations to date
0
Altmetric
Theory and Method

Efficiency-Robust Systematic Linear Estimators of Location

Pages 594-601 | Published online: 05 Apr 2012

References

  • Bennett , C. A. 1952 . “Asymptotic Properties of Ideal Linear Estimators,” , Doctoral dissertation University of Michigan .
  • Birnbaum , A. 1961 . “Some Theory and Techniques for Robust Estimation,” (Abstract) . The Annals of Mathematical Statistics , 32 June : 622
  • Birnbaum , A. and Laska , E. 1967 . “Optimal Robustness: A General Method, With Applications to Linear Estimators of Location,” . Journal of the American Statistical Association , 62 December : 1230 – 40 .
  • Birnbaum , A. , Laska , E. and Meisner , M. 1971 . “Optimally Robust Linear Estimators of Location,” . Journal of the American Statistical Association , 66 June : 302 – 10 .
  • Birnbaum , A. , Laska , E. and Miké , V. 1970 . “Asymptotically Robust Estimators of Location,” . Journal of the American Statistical Association , 65 September : 1265 – 82 .
  • Blom , G. 1958 . Statistical Estimates and Transformed Beta-Variables , New York : John Wiley & Sons, Inc. .
  • Chernoff , H. , Gastwirth , J. L. and Johns , M. V. Jr. 1967 . “Asymptotic Distribution of Linear Combinations of Functions of Order Statistics with Applications to Estimation,” . Annals of Mathematical Statistics , 38 February : 52 – 72 .
  • Crow , E. L. and Siddiqui , M. M. 1967 . “Robust Estimation of Location,” . Journal of the American Statistical Association , 62 June : 353 – 89 .
  • Daniell , L. 1920 . “Observations Weighted According to Order,” . American Journal of Mathematics , 42 : 222 – 36 .
  • Gastwirth , J. L. and Cohen , M. L. 1970 . “Small Sample Behavior of Some Robust Linear Estimators of Location,” . Journal of the American Statistical Association , 65 June : 946 – 73 .
  • Govindarajulu , Z. 1966 . “Best Linear Estimates under Symmetric Censoring of the Parameters of a Double Exponential Population,” . Journal of the American Statistical Association , 61 March : 248 – 58 .
  • Govindarajulu , Z. “Asymptotic Normality of Linear Functions of Order Statistics,” . Proceedings of the National Academy of Sciences . Vol. 59 , March . pp. 713 – 9 .
  • Gupta , S. S. , Qureishi , A. S. and Shah , B. K. 1967 . “Best Linear Unbiased Estimators of the Parameters of a Logistic Distribution Using Order Statistics,” . Technometrics , 9 February : 43 – 56 .
  • Jung , J. 1959 . “On Linear Estimates Defined by a Continuous Weight Function,” . Arkiv för Matematik , Band 3 ( Nr. 15 ) : 199 – 209 .
  • Laska , E. 1962 . “A General Theory of Robustness,” , Doctoral dissertation New York University .
  • Lloyd , E. H. 1952 . “Least-Squares Estimation of Location and Scale Parameters Using Order Statistics,” . Biometrika , 39 May : 88 – 95 .
  • Miké , V. 1967 . “Contributions to Robust Estimation,” , Doctoral dissertation New York University .
  • Miké , V. 1971 . “Robust Pitman-Type Estimators of Location,” (Submitted for publication)
  • Mosteller , F. 1946 . “On Some Useful ‘Inefficient’ Statistics,” . The Annals of Mathematical Statistics , 17 December : 377 – 408 .
  • Ogawa , J. 1951 . “Contributions to the Theory of Systematic Statistics, I.” . Osaka Mathematical Journal , 3 : 175 – 213 .
  • Sarhan , A. E. and Greenberg , B. G. 1962 . Contributions to Order Statistics , New York : John Wiley & Sons, Inc. .
  • Särndal , C. E. 1962 . Information from Censored Samples , Stockholm : Almqvist and Wiksell .
  • Siddiqui , M. M. and Raghunandanan , K. 1967 . “Asymptotically Robust Estimators of Location,” . Journal of the American Statistical Association , 62 September : 950 – 3 .
  • Takeuchi , K. 1971 . “A Uniform Asymptotically Efficient Robust Estimator of a Location Parameter,” . Journal of the American Statistical Association , 66 June : 292 – 301 .
  • Tischendorf , J. A. 1955 . “Linear Estimation Techniques Using Order Statistics,” , Doctoral dissertation Purdue University .
  • Yhap , E. F. 1966 . “Asymptotically Admissible Linear Unbiased Estimators (AALUE) for Robust Estimation of Location and Scale Parameters,” (Abstract) . The Annals of Mathematical Statistics , 37 August : 1071 – 2 .
  • Yhap , E. F. 1967 . “An Asymptotically Optimally Robust Linear Unbiased Estimator of Location for Symmetric Shapes.” , Doctoral dissertation New York University .

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.