Reviews

Functional Data Analysis (Brief Overview) (Encyclopedia Version) (Print Version)

Wang, J.L., Chiou, J., Müller, H.G. (2016). Functional Data Analysis. Annual Review of Statistics and Its Application (pdf)

Müller, H.G., Petersen, A. (2016). Density estimation including examples. Wiley StatsRef: Statistics Reference Online (WSR) (pdf)

Müller, H.G. (2016). Peter Hall, functional data analysis and random objects. Annals of Statistics 44, 1867-1887. (pdf)

Chen, K., Zhang, X., Petersen, A., Müller, H.G. (2015). Quantifying infinite-dimensional data: Functional Data Analysis in action. Statistics in Biosciences, 1-23. (pdf)

Müller, H.G. (2009). Functional modeling of longitudinal data. In: Longitudinal Data Analysis (Handbooks of Modern Statistical Methods), Ed. Fitzmaurice, G., Davidian, M., Verbeke, G., Molenberghs, G., Wiley, New York, 223--252. (pdf)

Some recent papers

Petersen, A., Müller, H.G. (2018). Fréchet regression for random objects with Euclidean predictors. Annals of Statistics (pdf) (Supplement)

Petersen, A., Deoni, S., Müller, H.G. (2018). Fréchet estimation of time-varying covariance matrices from sparse data, with application to the regional co-evolution of myelination in the developing brain. Annals of Applied Statistics (pdf)

Lin, Z., Müller, H.G., Yao, F. (2018). Mixture inner product spaces and their application to functional data analysis. Annals of Statistics (pdf)

Dai, X., Tao, W., Müller, H.G. (2018). Derivative principal components for representing the time dynamics of longitudinal and functional data. Statistica Sinica (pdf)

Dawson, M., Müller, H.G. (2018). Dynamic modeling of conditional quantile trajectories, with application to longitudinal snippet data. J. American Statistical Association (pdf)

Dai,X., Müller, H.G. (2018). Principal component analysis for functional data on Riemannian manifolds and spheres. Annals of Statistics (pdf)

Chen, Y., Müller, H.G. (2018). Wasserstein gradients for the temporal evolution of probability distributions. (pdf)

Lopes, M.E., Lin, Z., Müller, H.G. (2018). Bootstrapping max statistics in high dimensions: Near-parametric rates under weak variance decay and application to functional data analysis. (pdf)

Park, B.U., Chen, C.J., Tao, W., Müller, H.G. (2018). Singular additive models for function to function regression. Statistica Sinica (pdf) (Supplement)