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Nonparametric and Semiparametric Regression for Dependent Data

  • Yehua Li
  • Naisyin Wang
Chapter
  • 747 Downloads

Abstract

We are honored to include this article to celebrate the publication of Ray’s collected works by Springer. These collected works mark another milestone in Ray’s distinguished career, as evident by the wide range of statistics publications he has contributed to the literature over the years. The enclosed papers have had far-reaching impacts on the field of statistics, in addition to other disciplines, including AIDS research, cancer studies, finance, image analysis, proteomics, and genomics. We anticipate future new applications of the methods and theory Ray developed that are represented in these papers. We appreciate this opportunity to discuss Ray’s contributions to non- and semiparametric longitudinal and functional data analysis.

Keywords

Semiparametric Regression Data Dependencies Functional Data Analysis Proteomics Cancer Study 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

Other publications by Ray Carroll cited in this chapter.

  1. Baladandayuthapani, V., Hong, M. Y., Mallick, B. K., Lupton, J. R., Turner, N. D., and Carroll, R. J. (2008). Bayesian hierarchical spatially correlated functional data analysis with application to colon carcinogenesis. Biometrics, 64, 64–73.CrossRefzbMATHMathSciNetGoogle Scholar
  2. Carroll, R. J., Maity, A., Mammen, E., and Yu, K. (2009). Nonparametric additive regression for repeatedly measured data. Biometrika, 96, 383–398.CrossRefzbMATHMathSciNetGoogle Scholar
  3. Johnstone, I. M., and Silverman, B. W. (1997) Wavelet threshold estimators for data with correlated noise. Journal of the Royal Statistical Society, Series B, 59, 319–351.CrossRefzbMATHMathSciNetGoogle Scholar
  4. Li, Y., Wang, N., and Carroll, R. J. (2010). Generalized functional linear models with semiparametric single-index interactions, Journal of the American Statistical Association, 105, 621–633.CrossRefMathSciNetGoogle Scholar
  5. Lin, X. and Carroll, R. J. (2001b). Semiparametric regression for clustered data Biometrika, 88, 1179–1185.Google Scholar
  6. Lin, X., Wang, N., Welsh, A. H., and Carroll, R. J. (2004). Equivalent kernels of smoothing splines in nonparametric regression for longitudinal/clustered data. Biometrika, 91, 177–194.CrossRefzbMATHMathSciNetGoogle Scholar
  7. Maity, A., Carroll, R. J., Mammen, E., and Chatterjee, N. (2009). Testing in semiparametric models with interaction, with applications to gene-environment interactions. Journal of the Royal Statistical Society, Series B, 71, 75–96.CrossRefzbMATHMathSciNetGoogle Scholar
  8. Morris, J. S., Vannucci, M., Brown, P. J., and Carroll, R. J. (2003). Wavelet-based nonparametric modeling of hierarchical functions in colon carcinogenesis. Journal of the American Statistical Association, 98, 573–597 (Editor’s Invited Paper for 2003).Google Scholar
  9. Staicu, A.-M., Crainiceanu, C. M., and Carroll, R. J. (2010). Fast methods for spatially correlated multilevel functional data. Biostatistics, 11, 177–194.CrossRefGoogle Scholar
  10. Wang, N., Carroll, R. J., and Lin, X. (2005). Efficient semiparametric marginal estimation for longitudinal/clustered data. Journal of the American Statistical Association, 100, 147–157.CrossRefzbMATHMathSciNetGoogle Scholar
  11. Zhou, L., Huang, J. Z., and Carroll, R. J. (2008). Joint modeling of paired sparse functional data using principal components. Biometrika, 95, 601–619.CrossRefzbMATHMathSciNetGoogle Scholar
  12. Zhou, L., Huang, J. Z., Martinez, J. G., Maity, A., Baladandayuthapani, V., and Carroll, R. J., (2010). Reduced rank mixed effects models for spatially correlated hierarchical functional data. Journal of the American Statistical Association, 105, 390–400.CrossRefMathSciNetGoogle Scholar

Publications by other authors cited in this chapter.

  1. Wang, N. (2003). Marginal nonparametric kernel regression accounting for within-subject correlation. Biometrika, 90, 43–52.CrossRefzbMATHMathSciNetGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Yehua Li
    • 1
  • Naisyin Wang
    • 2
  1. 1.Iowa State UniversityAmesUSA
  2. 2.University of MichiganAnn ArborUSA

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