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.
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References
Other publications by Ray Carroll cited in this chapter.
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.
Carroll, R. J., Maity, A., Mammen, E., and Yu, K. (2009). Nonparametric additive regression for repeatedly measured data. Biometrika, 96, 383–398.
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.
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.
Lin, X. and Carroll, R. J. (2001b). Semiparametric regression for clustered data Biometrika, 88, 1179–1185.
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.
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.
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).
Staicu, A.-M., Crainiceanu, C. M., and Carroll, R. J. (2010). Fast methods for spatially correlated multilevel functional data. Biostatistics, 11, 177–194.
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.
Zhou, L., Huang, J. Z., and Carroll, R. J. (2008). Joint modeling of paired sparse functional data using principal components. Biometrika, 95, 601–619.
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.
Publications by other authors cited in this chapter.
Wang, N. (2003). Marginal nonparametric kernel regression accounting for within-subject correlation. Biometrika, 90, 43–52.
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Li, Y., Wang, N. (2014). Nonparametric and Semiparametric Regression for Dependent Data. In: Davidian, M., Lin, X., Morris, J., Stefanski, L. (eds) The Work of Raymond J. Carroll. Springer, Cham. https://doi.org/10.1007/978-3-319-05801-6_5
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DOI: https://doi.org/10.1007/978-3-319-05801-6_5
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