## Recent Advances in Functional Data Analysis and Related TopicsNew technologies allow us to handle increasingly large datasets, while monitoring devices are becoming ever more sophisticated. This high-tech progress produces statistical units sampled over finer and finer grids. As the measurement points become closer, the data can be considered as observations varying over a continuum. This intrinsic continuous data (called functional data) can be found in various fields of science, including biomechanics, chemometrics, econometrics, environmetrics, geophysics, medicine, etc. The failure of standard multivariate statistics to analyze such functional data has led the statistical community to develop appropriate statistical methodologies, called Functional Data Analysis (FDA). Today, FDA is certainly one of the most motivating and popular statistical topics due to its impact on crucial societal issues (health, environment, etc). This is why the FDA statistical community is rapidly growing, as are the statistical developments . Therefore, it is necessary to organize regular meetings in order to provide a state-of-art review of the recent advances in this fascinating area. This book collects selected and extended papers presented at the second International Workshop of Functional and Operatorial Statistics (Santander, Spain, 16-18 June, 2011), in which many outstanding experts on FDA will present the most relevant advances in this pioneering statistical area. Undoubtedly, these proceedings will be an essential resource for academic researchers, master students, engineers, and practitioners not only in statistics but also in numerous related fields of application. |

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### Contents

1 | |

Functional Prediction for the Residual Demand in Electricity Spot Markets | 9 |

Variable Selection in SemiFunctional Regression Models | 17 |

Power Analysis for Functional Change Point Detection | 23 |

Robust Nonparametric Estimation for Functional Spatial Regression | 27 |

Sequential Stability Procedures for Functional Data Setups | 33 |

On the Effect of Noisy Observations of the Regressor in a Functional Linear Model | 41 |

Testing the Equality of Covariance Operators | 49 |

Consistency of the Mean and the Principal Components of Spatially Distributed Functional Data | 169 |

Kernel Density Gradient Estimate | 177 |

A Backward Generalization of PCA for Exploration and Feature Extraction of ManifoldValued Shapes | 183 |

Multiple Functional Regression with both Discrete and Continuous Covariates | 189 |

Combining Factor Models and Variable Selection in HighDimensional Regression | 197 |

Factor Modeling for High Dimensional Time Series | 203 |

Depth for Sparse Functional Data | 209 |

Sparse Functional Linear Regression with Applications to Personalized Medicine | 213 |

Modeling and Forecasting Monotone Curves by FDA | 55 |

WaveletBased Minimum Contrast Estimation of Linear Gaussian Random Fields | 63 |

Dimensionality Reduction for Samples of Bivariate Density Level Sets an Application to Electoral Results | 71 |

Structural Tests in Regression on Functional Variable | 77 |

A Fast Functional Locally Modeled Conditional Density and Mode for Functional TimeSeries | 85 |

Generalized Additive Models for Functional Data | 91 |

Recent Advances on Functional Additive Regression | 97 |

Thresholding in Nonparametric Functional Regression with Scalar Response | 103 |

Estimation of a Functional Single Index Model | 111 |

Density Estimation for SpatialTemporal Data | 117 |

Functional Quantiles | 123 |

Extremality for Functional Data | 131 |

Functional Kernel Estimators of Conditional Extreme Quantiles | 135 |

A Nonparametric Functional Method for Signature Recognition | 141 |

Longitudinal Functional Principal Component Analysis | 149 |

Estimation and Testing for Geostatistical Functional Data | 155 |

Structured Penalties for Generalized Functional Linear Models GFLM | 161 |

Estimation of Functional Coefficients in Partial Differential Equations | 219 |

Functional Varying Coefficient Models | 225 |

Applications of Funtional Data Analysis to Material Science | 231 |

On the Properties of Functional Depth | 239 |

SecondOrder Inference for Functional Data with Application to DNA Minicircles | 245 |

Nonparametric Functional Time Series Prediction | 251 |

Wavelets Smoothing for Multidimensional Curves | 255 |

Nonparametric Conditional Density Estimation for Functional Data Econometric Applications | 263 |

Spatial Functional Data Analysis | 269 |

Clustering Spatially Correlated Functional Data | 277 |

Spatial Clustering of Functional Data | 283 |

PopulationWide ModelFree Quantification of BloodBrainBarrier Dynamics in Multiple Sclerosis | 291 |

Flexible Modelling of Functional Data using Continuous Wavelet Dictionaries | 297 |

Periodically Correlated Autoregressive Hilbertian Processes of Order p | 301 |

Bases Giving Distances A New Semimetric and its Use for Nonparametric Functional Data Analysis | 307 |

List of Contributors | 315 |

### Other editions - View all

Recent Advances in Functional Data Analysis and Related Topics Frédéric Ferraty No preview available - 2011 |

Recent Advances in Functional Data Analysis and Related Topics Frédéric Ferraty No preview available - 2013 |