Search Results - subject:"Functional data"

Supervised classification for functional data: A weighted distance approach

Alonso, Andrés M.; Casado, David; Romo, Juan - In: Computational Statistics & Data Analysis 56 (2012) 7, pp. 2334-2346

A natural methodology for discriminating functional data is based on the distances from the observation or its …

Persistent link: https://www.econbiz.de/10010577724

On the definition of phase and amplitude variability in functional data analysis

Vantini, Simone - In: TEST: An Official Journal of the Spanish Society of … 21 (2012) 4, pp. 676-696

We introduce a modeling and mathematical framework in which the problem of registering a functional data set can be … consistently set. In detail, we show that the introduction, in a functional data analysis, of a metric/semi-metric and of a group … definition of phase and amplitude variability. Indeed, in this framework, we prove that the analysis of a registered functional …

Persistent link: https://www.econbiz.de/10010994304

Wavelet-RKHS-based functional statistical classification

Rincón, M.; Ruiz-Medina, M. - In: Advances in Data Analysis and Classification 6 (2012) 3, pp. 201-217

A functional classification methodology, based on the Reproducing Kernel Hilbert Space (RKHS) theory, is proposed for discrimination of gene expression profiles. The parameter function involved in the definition of the functional logistic regression is univocally and consistently estimated, from...

Persistent link: https://www.econbiz.de/10010995278

Spline estimators for semi-functional linear model

Zhou, Jianjun; Chen, Min - In: Statistics & Probability Letters 82 (2012) 3, pp. 505-513

In this paper, we introduce a semi-functional linear model in which a scalar response variable is explained by a linear operator of a random function and a nonparametric function of a real-valued random variable. We study the spline estimators of the functional coefficient and nonparametric...

Persistent link: https://www.econbiz.de/10010571800

Regression when both response and predictor are functions

Ferraty, F.; Van Keilegom, I.; Vieu, P. - In: Journal of Multivariate Analysis 109 (2012) C, pp. 10-28

We consider a nonparametric regression model where the response Y and the covariate X are both functional (i.e. valued in some infinite-dimensional space). We define a kernel type estimator of the regression operator and we first establish its pointwise asymptotic normality. The double...

Persistent link: https://www.econbiz.de/10010572285

Detecting and estimating changes in dependent functional data

Aston, John A.D.; Kirch, Claudia - In: Journal of Multivariate Analysis 109 (2012) C, pp. 204-220

Change point detection in sequences of functional data is examined where the functional observations are dependent. Of …

Persistent link: https://www.econbiz.de/10010572303

Functional Multiple-Set Canonical Correlation Analysis

Hwang, Heungsun; Jung, Kwanghee; Takane, Yoshio; … - In: Psychometrika 77 (2012) 1, pp. 48-64

Persistent link: https://www.econbiz.de/10009400071

Regression operator estimation by delta-sequences method for functional data and its applications

Ouassou, Idir; Rachdi, Mustapha - In: AStA Advances in Statistical Analysis 96 (2012) 4, pp. 451-465

In this paper, we introduce a somewhat more general class of nonparametric estimators (delta-sequences estimators) for estimating an unknown regression operator from noisy data. The regressor is assumed to take values in an infinite-dimensional separable Banach space, when the response variable...

Persistent link: https://www.econbiz.de/10010600774

Functional Principal Components Analysis, Implementation and Applications

Benko, Michael - 2004

This master thesis discusses selected topics of Functional Data Analysis (FDA). FDA deals with the random variables … the statistical macros (quantlets), graphical and plotting tools of functional data analysis. …

Persistent link: https://www.econbiz.de/10009467198

Coherent Mortality Forecasting The Product-ratio Method with Functional Time Series Models

Hyndman, Rob J; Booth, Heather; Yasmeen, Farah - ARC Centre of Excellence in Population Ageing Research … - 2011

When independence is assumed, forecasts of mortality for subpopulations are almost always divergent in the long term. We propose a method for non-divergent or coherent forecasting of mortality rates for two or more subpopulations, based on functional principal components models of simple and...

Persistent link: https://www.econbiz.de/10010551685