Inference from heteroscedastic functional data

References

• Billingsley , P. 1995 . Probability and Measure , 3 , NewYork : Wiley .
   Google Scholar
• Brockwell , P. and Davis , R. 1991 . Time Series: Theory and Methods , 2 , NewYork : Springer .
   Google Scholar
• Brumback , A. B. and Rice , J. 1998 . Smoothing Spline Models for the Analysis of Nested and Crossed Samples of Curves . Journal of the American Statistical Association , 93 : 961 – 976 .
   Web of Science ®Google Scholar
• Brunner , E. , Domhof , S. and Langer , F. 2002 . Nonparametric Analysis of Longitudinal Data in Factorial Experiments , NewYork : Wiley .
   Google Scholar
• Davidian , M. and Giltinan , D. M. 1995 . Nonlinear Models for Repeated Measurement Data , NewYork : Chapman and Hall .
   Google Scholar
• Diggle , P. , Heagerty , P. , Liang , K.-Y. and Zeger , S. 2002 . Analysis of Longitudinal Data , Oxford : Oxford University Press .
   Google Scholar
• Diggle , P. J. and Ribeiro , P. J. 2007 . Model-Based Geostatistics , New-York : Springer .
   Google Scholar
• Emrich , L. J. and Piedmonte , M. R. 1992 . On Some Small Sample Properties of Generalized Estimating Equation Estimates for Multivariate dichotomous Outcomes . Journal of Statistical Computation and Simulation , 41 : 19 – 29 .
   Google Scholar
• Fan , J. and Lin , S. 1998 . Test of Significance When Data are Curves . Journal of the American Statistical Association , 93 : 1007 – 1021 .
   Web of Science ®Google Scholar
• Fan , J. , Fan , Y. and Lv , J. 2008 . High Dimensional Covariance Matrix Estimation Using a Factor Model . Journal of Econometrics , 147 : 186 – 197 . http://arxiv.org/abs/math.ST/0701124v1
   Web of Science ®Google Scholar
• Fay , M. P. and Graubard , B. I. 2001 . Small-sample Adjustments for Wald-type Tests Using Sandwich Estimators . Biometrics , 57 : 1198 – 1206 .
   PubMed Web of Science ®Google Scholar
• Fay , M. P. , Graubard , B. I. , Freedman , L. S. and Midthune , D. N. 1998 . Conditional Logistic Regression with Sandwich Estimators: Application to a Meta-analysis . Biometrics , 54 : 195 – 208 .
   PubMed Web of Science ®Google Scholar
• Gunsolley , J. C. , Getchell , C. and Chinchilli , V. M. 1995 . Small Sample Characteristics of Generalized Estimating Equations . Communications in Statistics – Simulation and Computation , 24 : 869 – 878 .
   Web of Science ®Google Scholar
• Hand , D. and Crowder , M. 1996 . Practical Longitudinal Data Analysis , New-York : Chapman and Hall .
   Google Scholar
• Johnstone , I. M. 2001 . On the Distribution of the Largest Eigenvalue in Principal Components Analysis . Annals of Statistics , 29 : 295 – 327 .
   Web of Science ®Google Scholar
• Kauermann , G. and Carroll , R. J. 2001 . A Note on the Efficiency of Sandwich Covariance Matrix Estimation . Journal of the American Statistical Association , 96 : 1387 – 1396 .
   Web of Science ®Google Scholar
• Ke , C. and Wang , Y. 2001 . Semiparametric and Nonlinear Mixed-effects Models and their Applications . Journal of the American Statistical Association , 96 : 1272 – 1298 .
   Web of Science ®Google Scholar
• Lin , S. P. and Perlman , M. D. 1985 . “ A Monte Carlo Comparison of Four Estimators of a Covariance Matrix ” . In Multivariate Analysis 6 , Edited by: Krishnaiah , P. R. 411 – 429 . Amsterdam : North-Holland .
   Google Scholar
• Lin , D. Y. and Wei , L. J. 1989 . The Robust inference for the Cox Proportional hazards Model . Journal of the American Statistical Association , 84 : 1074 – 1078 .
   Web of Science ®Google Scholar
• Mancl , L. A. and DeRouen , T. A. 2001 . A Covariance Estimator for Gee with Improved Small-sample Properties . Biometrics , 57 : 126 – 134 .
   PubMed Web of Science ®Google Scholar
• Masry , E. and Tjostheim , D. 1995 . Nonparametric Estimation and Identification of Nonlinear Arch Time Series: Strong Convergence and Asymptotic Normality . Econometric Theory , 11 : 258 – 289 .
   Web of Science ®Google Scholar
• Masry , E. and Tjostheim , D. 1997 . Additive Nonlinear ARX Time Series and Projection Estimates . Econometric Theory , 13 : 214 – 252 .
   Web of Science ®Google Scholar
• Pinheiro , J. C. and Bates , D. 2000 . Mixed-Effects Models in S and S-PLUS , New-York : Springer .
   Google Scholar
• Ramsay , J. and Li , X. 1998 . Curve Registration . Journal of the Royal Statistical Society. Series B , 60 : 351 – 363 .
   Google Scholar
• Ramsay , J. and Silverman , B. 1997 . Functional Data Analysis , New-York : Springer .
   Google Scholar
• Schäfer , J. and Strimmer , K. 2005 . A Shrinkage Approach to Large-scale Covariance Matrix Estimation and Implications for Functional Genomics . Statistical Applications in Genetics and Molecular Biology , 4 : 1 – 32 .
   Web of Science ®Google Scholar
• Skinner , R. H. 2008 . Yield, Root Growth, and Soil Water Content in Drought-stressed Pasture Mixtures Containing Chicory . Crop Science , 48 : 380 – 388 .
   Web of Science ®Google Scholar
• Venuprasad , R. , Lafitte , H. R. and Atlin , G. N. 2007 . Response to Direct Selection for Grain Yield Under Drought Stress in Rice . Crop Science , 47 : 285 – 293 .
   Web of Science ®Google Scholar
• Wang , H. 2004 . “ Testing in Multifactor Heteroscedastic ANOVA and Repeated Measures Designs with Large Number of Levels ” . Pennsulvania State University . Ph.D. thesis
   Google Scholar
• Wu , C. O. and Chiang , C. T. 2000 . Kernel Smoothing on Varying Coefficient Models with Longitudinal Dependent Variable . Statistica Sinica , 10 : 433 – 456 .
   Web of Science ®Google Scholar
• Zhu , D. and Hero , A. 2007 . Bayesian Hierarchical Model for Large-scale Covariance Matrix Estimation . Journal of Computational Biology , 14 : 1311 – 1326 .
   PubMed Web of Science ®Google Scholar