Sequential Analysis of Nonparametric Heteroscedastic Regression with Missing Responses

REFERENCES

• Anscombe , F. J. ( 1949 ). Large-Sample Theory of Sequential Estimation , Biometrika 36 : 455 – 458 .
   PubMed Web of Science ®Google Scholar
• Anscombe , F. J. ( 1952 ). Large-Sample Theory of Sequential Estimation , Proceedings of Cambridge Philosophical Society 48 : 600 – 607 .
   Web of Science ®Google Scholar
• Anscombe , F. J. ( 1953 ). Sequential Estimation , Journal of Royal Statistical Society, Series B 15 : 1 – 29 .
   Google Scholar
• Chen , J. , Fan , J. , Li , K. , and Zhou , H. ( 2006 ). Local Quasi-Likelihood Estimation with Data Missing at Random , Statistica Sinica 16 : 1071 – 1100 .
   Web of Science ®Google Scholar
• Efromovich , S. ( 1986 ). Adaptive Algorithm of Nonparametric Regression , Proceedings of Second IFAC Symposium on Stochastic Control, Science 1 : 112 – 114 .
   Google Scholar
• Efromovich , S. ( 1999 ). Nonparametric Curve Estimation: Methods, Theory, and Applications , New York : Springer .
   Google Scholar
• Efromovich , S. (2000). On Sharp Adaptive Estimation of Multivariate Curves, Mathematical Methods of Statistics 9: 117–139.
   Google Scholar
• Efromovich , S. ( 2007 ). Sequential Design and Estimation in Heteroscedastic Regression , Sequential Analysis 26 : 3 – 25 .
   Google Scholar
• Efromovich , S. ( 2008 ). Optimal Sequential Design in a Controlled Nonparametric Regression , Scandinavian Journal of Statistics 35 : 266 – 285 .
   Web of Science ®Google Scholar
• Efromovich , S. ( 2011 ). Nonparametric Regression with Responses Missing at Random , Journal of Statistical Planning and Inference 141 : 3744 – 3752 .
   Web of Science ®Google Scholar
• Efromovich , S. and Pinsker , M. S. ( 1996 ). Sharp–Optimal and Adaptive Estimation for Heteroscedastic Regression , Statistica Sinica 6 : 925 – 945 .
   Web of Science ®Google Scholar
• Ghosh , M. , Mukhopadhyay , N. , and Sen , P. K. ( 1997 ). Sequential Estimation , New York : Wiley .
   Google Scholar
• Liang , H. , Wang , S. , and Carroll , R. ( 2007 ). Partially Linear Models with Missing Response Variables and Error-Prone Covariates , Biometrika 94 : 185 – 198 .
   PubMed Web of Science ®Google Scholar
• Liski , E. P. , Mandal , N. K. , Shah , K. R. , and Sinha , B. K. ( 2002 ). Topics in Optimal Design , New York : Springer .
   Google Scholar
• Little , R. and Rubin , D. ( 2002 ). Statistical Analysis with Missing Data , second edition , New York : Wiley .
   Google Scholar
• Marron , J. S. and Wand , M. P. ( 1992 ). Exact Mean Integrated Squared Error , Annals of Statistics 20 : 712 – 736 .
   Web of Science ®Google Scholar
• Molenberghs , G. and Kenward , M. ( 2007 ). Missing Data in Clinical Studies , New York : Wiley .
   Google Scholar
• Mukhopadhyay , N. and Solanky , T. K. S. ( 1994 ). Multistage Selection and Ranking Procedures , New York : Dekker .
   Google Scholar
• Nittner , T. ( 2003 ). Missing at Random (MAR) in Nonparametric Regression—A Simulation Experiment , Statistical Methodology and Applications 12 : 195 – 210 .
   Google Scholar
• Pukelsheim , F. ( 1993 ). Optimal Design of Experiments , New York : Wiley .
   Google Scholar
• Thompson , S. K. and Seber , A. F. ( 1996 ). Adaptive Sampling , New York : Wiley .
   Google Scholar
• Tsiatis , A. ( 2006 ). Semiparametric Theory and Missing Data , New York : Springer .
   Google Scholar
• Wald , A. ( 1947 ). Sequential Analysis , New York : Wiley .
   Google Scholar
• Wald , A. ( 1950 ). Statistical Decision Functions , New York : Wiley .
   Google Scholar
• Wang , D. and Chen , S. X. ( 2009 ). Empirical Likelihood for Estimating Equations with Missing Values , Annals of Statistics 37 : 490 – 517 .
   Web of Science ®Google Scholar
• Recommended by N. Mukhopadhyay
   Google Scholar