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Introduction to IWFOS'2008 | |

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Historical and scientific setting | |

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The STAPH group | |

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The first IWFOS'2008 | |

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References | |

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Solving Multicollinearity in Functional Multinomial Logit Models for Nominal and Ordinal Responses | |

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Introduction | |

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Functional multinomial response model | |

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Nominal responses | |

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Ordinal responses | |

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Model estimation | |

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Principal components approach | |

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References | |

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Estimation of Functional Regression Models for Functional Responses by Wavelet Approximation | |

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Introduction | |

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Functional linear model for a functional response | |

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Model estimation | |

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Wavelet approximation of sample curves | |

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References | |

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Functional Linear Regression with Functional Response:Application to Prediction of Electricity Consumption | |

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Introduction | |

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Estimation procedure | |

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Computational aspects and simulations | |

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Prediction of electricity consumption | |

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References | |

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Asymptotic Normality of Robust Nonparametric Estimator for Functional Dependent Data | |

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Introduction | |

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Model and estimation | |

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Hypothesis and results | |

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Conditional confidence curve | |

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References | |

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Measuring Dissimilarity Between Curves by Means of Their Granulometric Size Distributions | |

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Introduction | |

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Basic concepts | |

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Methods and experimental results | |

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References | |

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Supervised Classification for Functional Data: A Theoretical Remark and Some Numerical Comparisons | |

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Introduction | |

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Consistency of the nearest neighbour rule | |

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Comparison of several classification techniques | |

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References | |

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Local Linear Regression for Functional Predictor and Scalar Response | |

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Introduction | |

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Local linear smoothing for functional data | |

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Performance of the estimator &mcirc;<sub>LL</sub> | |

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References | |

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Spatio-temporal Functional Regression on Paleoecological Data | |

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Introduction | |

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Data | |

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Functional regression | |

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References | |

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Local Linear Functional Regression Based on Weighted Distance-based Regression | |

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Introduction | |

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Weighted distance-based regression (WDBR) | |

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Local linear distance-based regression | |

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A real data example: Spectrometric Data | |

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References | |

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Singular Value Decomposition of Large Random Matrices (for Two-Way Classification of Microarrays) | |

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Introduction | |

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Singular values of a noisy matrix | |

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Classification via singular vector pairs | |

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Perturbation results for correspondence matrices | |

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Recognizing the structure | |

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References | |

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On Tensorial Products of Hilbertian Linear Processes | |

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Introduction | |

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The real case | |

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The hilbertian case | |

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References | |

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Recent Results on Random and Spectral Measures with Some Applications in Statistics | |

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Introduction and definitions | |

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Convolution product of spectral measures | |

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Tensor and convolution products of random measures | |

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References | |

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Introduction | |

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Inner optimization: nuisance parameters | |

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Middle optimization: structural parameters | |

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Outer optimization: complexity parameters | |

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Parameter cascading precedents | |

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Parameter cascading advantages | |

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References | |

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Advances in Human Protein Interactome Inference | |

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Introduction | |

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Methods | |

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Preliminary results | |

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References | |

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Functional Principal Components Analysis with Survey Data | |

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Introduction | |

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FPCA and sampling | |

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FPCA in a finite population setting | |

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The Horvitz-Thompson estimator | |

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Linearization by influence function | |

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Asymptotic properties | |

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Variance approximation and estimation | |

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A Simulation study | |

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References | |

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Functional Clustering of Longitudinal Data | |

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Introduction | |

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The methods | |

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Discussion | |

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References | |

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Robust Nonparametric Estimation for Functional Data | |

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Introduction | |

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Model | |

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Asymptotic results Ill | |

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Convergence in probability and asymptotic normality | |

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A uniform integrability result Ill | |

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Moments convergence | |

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Application to time series prediction | |

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References | |

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Estimation of the Functional Linear Regression with Smoothing Splines | |

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Introduction | |

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Construction of the estimator | |

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Convergence results | |

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References | |

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A Random Functional Depth | |

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Introduction | |

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Functional depth | |

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Randomness | |

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Analysis of a real data set | |

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References | |

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Parametric Families of Probability Distributions for Functional Data Using Quasi-Arithmetic Means with Archimedean Generators | |

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QAMML distributions | |

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Gateaux density | |

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GQAMML distributions | |

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CQAMML distributions | |

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Supervised classification | |

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Conclusions | |

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References | |

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Point-wise Kriging for Spatial Prediction of Functional Data | |

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Introduction | |

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Point-wise kriging for functional Data | |

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Example | |

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References | |

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Nonparametric Regression on Functional Variable and Structural Tests | |

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Introduction | |

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Nonparametric estimation | |

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Structural tests | |

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Bootstrap procedures and simulations | |

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References | |

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Vector Integration and Stochastic Integration in Banach Spaces | |

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Introduction | |

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Vector integration | |

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The classical integral | |

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The Bochner integral | |

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Integration with respect to a vector-measure with finite variations | |

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Integration with respect to a vector-measure with finite semivariation | |

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The stochastic integral | |

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References | |

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Multivariate Functional Data Discrimination Using ICA: Analysis of Hippocampal Differences in Alzheimer's Disease | |

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Introduction | |

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Brain MR scans processing | |

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Methodology: ICA and linear discriminant analysis | |

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Results of the hippocampus study | |

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References | |

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Influence in the Functional Linear Model with Scalar Response | |

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Introduction | |

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The functional linear model with scalar response | |

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Influence measures for the functional linear model | |

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References | |

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Is it Always Optimal to Impose Constraints on Nonparametric Functional Estimators? Some Evidence on the Smoothing Parameter Choice | |

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Introduction | |

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General constrained solutions | |

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Regularized estimated solutions | |

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Asymptotic behavior | |

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References | |

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Dynamic Semiparametric Factor Models in Pricing Kernels Estimation | |

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Introduction | |

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Pricing kernels | |

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Pricing kernels estimation with DSFM | |

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Empirical results | |

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References | |

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he Operator Trigonometry in Statistics | |

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The origins of the operator trigonometry | |

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The essentials of the operator trigonometry | |

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The operator trigonometry in statistics | |

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Operator trigonometry in general | |

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Conclusions | |

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References | |

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Selecting and Ordering Components in Functional-Data Linear Prediction | |

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Introduction | |

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Linear prediction in a general setting | |

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Arguments for and against the principal component basis | |

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Theoretical argument in support of the ordering (3) of the principal component basis | |

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Other approaches to basis choice | |

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References | |

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Bagplots, Boxplots and Outlier Detection for Functional Data | |

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Introduction | |

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Functional bagplot | |

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Functional HDR boxplot | |

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Comparison | |

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References | |

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Marketing Applications of Functional Data Analysis | |

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Introduction | |

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Methodology | |

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Results | |

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References | |

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Nonparametric Estimation in Functional Linear Model | |

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Introduction | |

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Definition of the estimator of ï¿½ | |

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Risk bound when X is second order stationary | |

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Risk bound when X is not second order stationary | |

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References | |

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Introduction | |

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Back to the multivariate case | |

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Presmoothing Y | |

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Presmoothing X | |

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Comments about efficiency | |

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References | |

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Probability Density Functions of the Empirical Wavelet Coefficients of Multidimensional Poisson Intensities | |

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Introduction | |

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Some basics and notations | |

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Main results | |

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Final remarks | |

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References | |

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A Cokriging Method for Spatial Functional Data with Applications in Oceanology | |

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Introduction | |

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Spatial linear model | |

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Cokriging on coefficients | |

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Dealing with real data | |

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References | |

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On the Effect of Curve Alignment and Functional PCA | |

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Introduction | |

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References | |

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K-sample Subsampling | |

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Introduction | |

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Subsampling hypothesis tests in K samples | |

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Subsampling confidence sets in K samples | |

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Random subsamples and the K-sample bootstrap | |

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References | |

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Inference for Stationary Processes Using Banded Covariance Matrices | |

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Introduction | |

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The results | |

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A class of nonlinear processes | |

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Convergence of banded covariance estimators | |

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Band selection | |

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References | |

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Automatic Local Spectral Envelope | |

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Introduction | |

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Basic approach | |

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References | |

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Recent Advances in the Use of SVM for Functional Data Classification | |

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Introduction | |

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SVM classifiers | |

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Definition | |

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Universal consistency of SVM | |

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Using SVM to classify functional data | |

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Kernels for functional data | |

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Projection approach | |

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Differentiation approach | |

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References | |

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Wavelet Thresholding Methods Applied to Testing Significance Differences Between Autoregressive Hilbertian Processes | |

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Introduction | |

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Preliminaries | |

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Main results | |

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Comparing two sequences of SFD in the ARH context | |

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References | |

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Explorative Functional Data Analysis for 3D-geometries of the Inner Carotid Artery | |

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Introduction | |

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Efficient estimation of 3D vessel centerlines and their curvature functions by free knot regression splines | |

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Registration | |

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Statistical analysis | |

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References | |

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Inference on Periodograms of Infinite Dimensional Discrete Time Periodically Correlated Processes | |

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Introduction | |

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Preliminaries and results | |

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References | |