Local Box–Cox transformation on time-varying parametric models for smoothing estimation of conditional CDF with longitudinal data

References

• Chiou JM, Müller HG, Wang JL. Functional response models. Stat Sin. 2004;14:675–693.
   Web of Science ®Google Scholar
• Diggle PJ, Heagery P, Liang KY, et al. Analysis of longitudinal data. 2nd ed. Oxford: Oxford University Press; 2002.
   Google Scholar
• Fan J, Zhang J-T. Two-step estimation of functional linear models with applications to longitudinal data. J R Statist Soc Ser. 2000;B62:303–322. doi: 10.1111/1467-9868.00233
   Google Scholar
• Fitzmaurice G, Davidian M, Verbeke G, et al., editors. Longitudinal data analysis. Boca Raton, FL: Chapman & Hall/CRC Press; 2009.
   Google Scholar
• Hart JD, Wehrly TE. Kernel regression estimation using repeated measurements data. J Amer Stat Assoc. 1993;81:1080–1088. doi: 10.1080/01621459.1986.10478377
   Google Scholar
• Hoover DR, Rice JA, Wu CO, et al. Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data. Biometrika. 1998;85:809–822. doi: 10.1093/biomet/85.4.809
   Web of Science ®Google Scholar
• Hu Z, Wang N, Carroll RJ. Profile-kernel versus backfitting in the partially linear models for longitudinal/clustered data. Biometrika. 2004;91:251–262. doi: 10.1093/biomet/91.2.251
   Web of Science ®Google Scholar
• James GM, Hastie TJ, Sugar CA. Principal component models for sparse functional data. Biometrika. 2000;87:587–602. doi: 10.1093/biomet/87.3.587
   Web of Science ®Google Scholar
• Lin X, Carroll RJ. Semiparametric regression for clustered data. Biometrika. 2001;88:1179–1185. doi: 10.1093/biomet/88.4.1179
   Web of Science ®Google Scholar
• Molenberghs G, Verbeke G. Models for discrete longitudinal data. New York, NY: Springer; 2005.
   Google Scholar
• Qu A, Li R. Nonparametric modeling and inference function for longitudinal data. Biometrics. 2006;62:379–391. doi: 10.1111/j.1541-0420.2005.00490.x
   PubMed Web of Science ®Google Scholar
• Sentürk D, Müller H-G. Inference for covariate adjusted regression via varying coefficient models. Ann Stat. 2006;34:654–679. doi: 10.1214/009053606000000083
   Web of Science ®Google Scholar
• Zhou L, Huang JZ, Carroll R. Joint modelling of paired sparse functional data using principal components. Biometrika. 2008;95:601–619. doi: 10.1093/biomet/asn035
   PubMed Web of Science ®Google Scholar
• Box GEP, Cox DR. An analysis of transformations. J R Stat Soc Ser B. 1964;26:211–252.
   Google Scholar
• Sakia RM. The Box–Cox transformation technique: a review. Statistician. 1992;41:169–178. doi: 10.2307/2348250
   Google Scholar
• National Heart, Lung, and Blood Institute Growth and Health Research Group (NGHSRG). Obesity and cardiovascular disease risk factors in black and white girls: the NHLBI Growth and Health Study. Am J Public Health. 1992;82:1613–1620. doi: 10.2105/AJPH.82.12.1613
   PubMed Web of Science ®Google Scholar
• Daniels SR, McMahon RP, Obarzanek E, et al. Longitudinal correlates of change in blood pressure in adolescent girls. Hypertension. 1998;31:97–103. doi: 10.1161/01.HYP.31.1.97
   PubMed Web of Science ®Google Scholar
• Obarzanek E, Wu CO, Cutler JA, et al. Prevalence and incidence of hypertension in adolescent girls. J Pediatr. 2010;157(3):461–467. doi: 10.1016/j.jpeds.2010.03.032
   PubMed Web of Science ®Google Scholar
• Thompson DR, Obarzanek E, Franko DL, et al. Childhood overweight and cardiovascular disease risk factors: the national heart, lung, and blood institute growth and health study. J Pediatr. 2007;150:18–25. doi: 10.1016/j.jpeds.2006.09.039
   PubMed Web of Science ®Google Scholar
• Wu CO, Tian X, Yu J. Nonparametric estimation for time-varying transformation models with longitudinal data. J Nonparametr Stat. 2010;22:133–147. doi: 10.1080/10485250903160988
   Web of Science ®Google Scholar
• Wu CO, Tian X. Nonparametric estimation of conditional distribution functions and rank-tracking probabilities with longitudinal data. J Stat Theory Pract. 2013;7:1–26. doi: 10.1080/15598608.2013.771598
   Google Scholar
• Wu CO, Tian X. Nonparametric estimation of conditional distributions and rank-tracking probabilities with time-varying transformation models in longitudinal studies. J Amer Stat Assoc. 2013;108(503):971–982. doi: 10.1080/01621459.2013.808949
   Web of Science ®Google Scholar
• Hall P, Wolff RCL, Yao Q. Methods for estimating a conditional distribution function. J Amer Stat Assoc. 1999;94:154–163. doi: 10.1080/01621459.1999.10473832
   Web of Science ®Google Scholar
• National High Blood Pressure Education Program Working Group on High Blood Pressure in Children and Adolescents (NHBPEP Working Group). The fourth report on the diagnosis, evaluation, and treatment of high blood pressure in children and adolescents. Pediatrics. 2004;114:555–576. doi: 10.1542/peds.114.2.S2.555
   PubMed Web of Science ®Google Scholar