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Journal of the American Statistical Association Volume 93, 1998 - Issue 444
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Theory and Methods

Nonparametric Regression Analysis of Longitudinal Data

Joan G. Staniswalis Department of Mathematical Sciences, University of Texas, El Paso, TX, 79968–0514, USA
&
J. Jack Lee Department of Biomathematics, M.D. Anderson Cancer Center, University of Texas, Houston, TX, 77030, USA
Pages 1403-1418 | Received 01 Feb 1997, Published online: 17 Feb 2012

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Guangbao Guo. (2020) A block bootstrap for quasi-likelihood in sparse functional data. Statistics 54:5, pages 909-925.
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J. ‐L. Wang. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Jian Sun, Haitao Liao & Belle R. Upadhyaya. (2014) A Robust Functional-Data-Analysis Method for Data Recovery in Multichannel Sensor Systems. IEEE Transactions on Cybernetics 44:8, pages 1420-1431.
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Haitao Liao & Jian Sun. (2011) Sensor recovery for robust multivariate condition monitoring. Sensor recovery for robust multivariate condition monitoring.
Hans-Georg Müller & Fang Yao. (2010) Empirical dynamics for longitudinal data. The Annals of Statistics 38:6.
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Hans-Georg Müller & Wenjing Yang. (2009) Dynamic relations for sparsely sampled Gaussian processes. TEST 19:1, pages 1-29.
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Hans-Georg Müller & Wenjing Yang. (2009) Rejoinder on: dynamic relations for sparsely sampled Gaussian processes. TEST 19:1, pages 60-67.
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A.-M. Staicu, C. M. Crainiceanu & R. J. Carroll. (2010) Fast methods for spatially correlated multilevel functional data. Biostatistics 11:2, pages 177-194.
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Sonja Greven, Ciprian Crainiceanu, Brian Caffo & Daniel Reich. (2010) Longitudinal functional principal component analysis. Electronic Journal of Statistics 4:none.
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Daniel Gervini. (2009) Detecting and handling outlying trajectories in irregularly sampled functional datasets. The Annals of Applied Statistics 3:4.
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Chong-Zhi Di, Ciprian M. Crainiceanu, Brian S. Caffo & Naresh M. Punjabi. (2009) Multilevel functional principal component analysis. The Annals of Applied Statistics 3:1.
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Veerabhadran Baladandayuthapani, Bani K. Mallick, Mee Young Hong, Joanne R. Lupton, Nancy D. Turner & Raymond J. Carroll. (2008) Bayesian Hierarchical Spatially Correlated Functional Data Analysis with Application to Colon Carcinogenesis. Biometrics 64:1, pages 64-73.
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JIANHUA Z. HUANG, LIANGYUE ZHANG & LAN ZHOU. (2007) Efficient Estimation in Marginal Partially Linear Models for Longitudinal/Clustered Data Using Splines. Scandinavian Journal of Statistics 34:3, pages 451-477.
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Hervé Cardot, Luboš Prchal & Pascal Sarda. (2007) No effect and lack-of-fit permutation tests for functional regression. Computational Statistics 22:3, pages 371-390.
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HERVÉ CARDOT. (2006) Conditional Functional Principal Components Analysis. Scandinavian Journal of Statistics 34:2, pages 317-335.
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Peter Hall & Joel L. Horowitz. (2007) Methodology and convergence rates for functional linear regression. The Annals of Statistics 35:1.
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Fang Yao. (2007) Asymptotic distributions of nonparametric regression estimators for longitudinal or functional data. Journal of Multivariate Analysis 98:1, pages 40-56.
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Peter Hall & Céline Vial. (2006) Assessing the Finite Dimensionality of Functional Data. Journal of the Royal Statistical Society Series B: Statistical Methodology 68:4, pages 689-705.
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Fang Yao, Hans-Georg Müller & Jane-Ling Wang. (2005) Functional linear regression analysis for longitudinal data. The Annals of Statistics 33:6.
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HANS-GEORG MULLER. (2005) Functional Modelling and Classification of Longitudinal Data*. Scandinavian Journal of Statistics 32:2, pages 223-240.
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Hans-Georg Müller & Ulrich Stadtmüller. (2005) Generalized functional linear models. The Annals of Statistics 33:2.
Crossref
J. ‐L. Wang. 2005. Encyclopedia of Biostatistics. Encyclopedia of Biostatistics.
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Heping Zhang. (2016) Mixed effects multivariate adaptive splines model for the analysis of longitudinal and growth curve data. Statistical Methods in Medical Research 13:1, pages 63-82.
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Nicole Malfait & James O. Ramsay. (2008) The historical functional linear model. Canadian Journal of Statistics 31:2, pages 115-128.
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Colin O. Wu & Kai F. Yu. (2007) Nonparametric Varying‐Coefficient Models for the Analysis of Longitudinal Data. International Statistical Review 70:3, pages 373-393.
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John A. Rice & Colin O. Wu. (2004) Nonparametric Mixed Effects Models for Unequally Sampled Noisy Curves. Biometrics 57:1, pages 253-259.
Crossref
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Andreas Fuest & Stefan Mittnik. (2015) Modeling Liquidity Impact on Volatility: A GARCH-FunXL Approach. SSRN Electronic Journal.
Crossref
Mian Huang, Runze Li, Hansheng Wang & Weixin Yao. (2013) Estimating Mixture of Gaussian Processes by Kernel Smoothing. SSRN Electronic Journal.
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