Longitudinal functional nonlinear marginal mixed effect models

Abstract

In this article, a longitudinal functional model including both fixed and random effects which depend on measurement periods is considered. A new procedure is presented to estimate the parameters included in the fixed and random effect terms of the model. We put light on the performance of our estimation procedure by two simulation studies and a real data modeling employed to check the performance of our estimation.

Keywords:

• Mixed effect models
• Longitudinal functional principal component analysis
• Karhunen-Loeve expansion
• Information matrix

Acknowledgments

The authors are indebted to reviewers for providing valuable and constructive comments. The authors would like to thank the Johns Hopkins University and the Kennedy-Krieger Institute for their generous policy for releasing the DTI data.