367
Views
163
CrossRef citations to date
0
Altmetric
Theory and Method

Nonparametric Estimation of Mean Functionals with Data Missing at Random

Pages 81-87 | Received 01 Jan 1992, Published online: 27 Feb 2012

References

  • Anderson , T. W. 1957 . “Maximum Likelihood Estimates for the Multivariate Normal Distribution When Some Observations Are Missing at Random,” . Journal of the American Statistical Association , 52 : 200 – 203 .
  • Bartlett , M. S. 1937 . “Some Examples of Statistical Methods of Research in Agriculture and Applied Botany,” . Journal of the Royal Statistical Society , 4 : 137 – 170 . Ser. B
  • Bose , C. 1943 . “Note on the Sampling Error in the Method of Double Sampling,” . Sankhya , 6 : 330
  • Cheng , P. E. 1990 . “Applications of Kernel Regression Estimation: A Survey,” . Communications in Statistics, Part A—Theory and Methods , 19 : 4103 – 4134 .
  • Cheng , P. E. and Wei , L. J. “Nonparametric Inference Under Ignorable Missing Data Process and Treatment Assignment,” . 1986 International Statistical Symposium . Taipei . Vol. 1 , pp. 97 – 112 .
  • Cochran , W. G. 1963 . Sampling Techniques, , 2nd ed. , New York : John Wiley .
  • Dempster , A. P. , Laird , N. and Rubin , D. B. 1977 . “Maximum Likelihood From Incomplete Data Via the EM Algorithm” . Journal of the Royal Statistical Society , 39 : 1 – 38 . (with discussion), Ser. B
  • Devroye , L. P. and Wagner , T. J. 1980 . “Distribution-Free Consistency Results in Nonparametric Discrimination and Regression Function Estimations,” . The Annals of Statistics , 8 : 231 – 239 .
  • Fan , J. 1992 . “Design-Adaptive Nonparamtric Regression,” . Journal of the American Statistical Association , 87 : 998 – 1004 .
  • Gasser , T. , Kneip , A. and Köhler , W. 1991 . “A Flexible and Fast Method for Automatic Smoothing,” . Journal of the American Statistical Association , 86 : 643 – 652 .
  • Hall , P. and Marron , J. S. 1990 . “On Variance Estimation in Nonparametric Regression,” . Biometrika , 77 : 415 – 419 .
  • Härdle , W. , Hall , P. and Marron , J. S. 1992 . “Regression Smoothing Parameters That Are not far From Their Optimum,” . Journal of the American Statistical Association , 87 : 227 – 233 .
  • Healy , M. J. R. and Westmacott , M. 1956 . “Missing Values in Experiments Analyzed on Automatic Computers,” . Applied Statistics , 5 : 203 – 206 .
  • Lin , P. E. and Stivers , L. E. 1974 . “On Difference of Means With Incomplete Data,” . Biometrika , 61 : 325 – 334 .
  • Little , R. J. A. 1976 . “Inference About Means From Incomplete Multivariate Data,” . Biometrika , 63 : 593 – 604 .
  • Little , R. J. A. and Rubin , D. B. 1987 . Statistical Analysis With Missing Data , New York : John Wiley .
  • Matloff , N. S. 1981 . “Use of Regression Functions for Improved Estimation of Means,” . Biometrika , 68 : 685 – 689 .
  • Mehta , J. S. and Gurland , J. 1973 . “A Test for Equality of Means in the Presence of Correlation and Missing Data,” . Biometrika , 60 : 211 – 213 .
  • Morrison , D. F. 1971 . “Expectations and Variances of Maximum Likelihood Estimates of the Multivariate Normal Distribution Parameters With Missing Data,” . Journal of the American Statistical Association , 66 : 602 – 604 .
  • Nadaraya , E. A. 1964 . “On Estimating Regression,” . Theory of Probability and its Application , 9 : 141 – 142 .
  • Neyman , J. 1938 . “Contribution to the Theory of Sampling Human Populations,” . Journal of the American Statistical Association , 33 : 101 – 116 .
  • Orchard , T. and Woodbury , M. A. “A Missing Information Principle: Theory and Applications,” . Proceedings of the 6th Berkeley Symposium on Mathematical Statistics and Probability . pp. 697 – 715 .
  • Rosenbaum , P. R. and Rubin , D. B. 1983 . “The Central Role of the Propensity Score in Observational Studies for Causal Effects,” . Biometrika , 70 : 41 – 55 .
  • Spiegelman , C. and Sacks , J. 1980 . “Consistent Window Estimation in Nonparametric Regression,” . The Annals of Statistics , 8 : 240 – 246 .
  • Stone , C. J. 1977 . “Consistent Nonparametric Regression” . The Annals of Statistics , 5 : 595 – 645 . (with discussion)
  • Tamhane , A. C. 1978 . “Inference Based on Regression Estimator in Double Sampling,” . Biometrika , 65 : 419 – 428 .
  • Titterington , D. M. 1977 . “Analysis of Incomplete Multivariate Binary Data by the Kernel Method,” . Biometrika , 64 : 455 – 460 .
  • Titterington , D. M. and Mill , G. M. 1983 . “Kernel-Based Density Estimates From Incomplete Data,” . Journal of the Royal Statistical Society , 45 : 258 – 266 . Ser. B
  • Watson , G. S. 1964 . “Smooth Regression Analysis,” . Sankhya , 26 : 359 – 372 . Ser. A
  • Wilks , S. S. 1932 . “Moments and Distributions of Estimates of Population Parameters From Fragmentary Samples,” . Annals of Mathematical Statistics , 3 : 163 – 203 .
  • Yates , F. 1933 . “The Analysis of Replicated Experiments When the Field results Are Incomplete,” . Emporium Journal of Experimental Agriculture , 1 : 129 – 142 .

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.