Search Results - subject:"Functional Data"

The role of functional data analysis for instantaneous frequency estimation

Park, Minjeong; Cho, Sinsup; Oh, Hee-Seok - In: Computational Statistics 28 (2013) 5, pp. 1965-1987

on a combination of empirical mode decomposition and functional data analysis. The proposed method incorporates a basis … expansion technique for a functional data into time-varying phase derived by empirical mode decomposition and Hilbert transform …

Persistent link: https://www.econbiz.de/10010847628

Nonparametric inference in small data sets of spatially indexed curves with application to ionospheric trend determination

Gromenko, Oleksandr; Kokoszka, Piotr - In: Computational Statistics & Data Analysis 59 (2013) C, pp. 82-94

observed at unevenly distributed spatial locations. Such data structures may be referred to as spatially indexed functional … data. Motivated by an important space physics problem, we model such data as a mean function plus spatially dependent error … known covariate functions. In particular, we develop methodology for the estimation a trend in spatially indexed functional …

Persistent link: https://www.econbiz.de/10010595096

Uniform consistency of kNN regressors for functional variables

Kudraszow, Nadia L.; Vieu, Philippe - In: Statistics & Probability Letters 83 (2013) 8, pp. 1863-1870

This paper is devoted to nonparametric analysis of functional data. We give asymptotic results for a kNN generalized …

Persistent link: https://www.econbiz.de/10010678715

Generative models for functional data using phase and amplitude separation

Tucker, J. Derek; Wu, Wei; Srivastava, Anuj - In: Computational Statistics & Data Analysis 61 (2013) C, pp. 50-66

general, functional data contains both phase (or x or horizontal) and amplitude (or y or vertical) variability. Traditional … technique called elastic shape analysis of curves that involves a new mathematical representation of functional data. Then … that ignore phase-amplitude separation. Furthermore, the generative models are applied to classification of functional data …

Persistent link: https://www.econbiz.de/10010617232

Cramér–Karhunen–Loève representation and harmonic principal component analysis of functional time series

Panaretos, Victor M.; Tavakoli, Shahin - In: Stochastic Processes and their Applications 123 (2013) 7, pp. 2779-2807

We develop a doubly spectral representation of a stationary functional time series, and study the properties of its empirical version. The representation decomposes the time series into an integral of uncorrelated frequency components (Cramér representation), each of which is in turn expanded...

Persistent link: https://www.econbiz.de/10010666236

Assessing biodiversity profile through FDA

Battista, Tonio Di; Fortuna, Francesca - In: Statistica 73 (2013) 1, pp. 69-85

The past few years have highlighted the need to protect diversity in its broader concept and, in particular, with reference to the ecological context for environmental protection. In this context, the problem of the definition and the measurement of diversity becomes fundamental. This paper...

Persistent link: https://www.econbiz.de/10010735133

Interpretable dimension reduction for classifying functional data

Tian, Tian Siva; James, Gareth M. - In: Computational Statistics & Data Analysis 57 (2013) 1, pp. 282-296

dimension reduction techniques for functional data usually suffer from one or both of the following problems. First, they do not … relationship with the original functional data. In this paper we propose a dimension reduction method, “Functional Adaptive …

Persistent link: https://www.econbiz.de/10011056555

Nonparametric M-regression for functional ergodic data

Gheriballah, Abdelkader; Laksaci, Ali; Sekkal, Soumeya - In: Statistics & Probability Letters 83 (2013) 3, pp. 902-908

Let (Xi,Yi)i=1,…,n be a sequence of stationary ergodic processes valued in F×R, where F is a semi-metric space. We consider the problem of estimating the regression function of Yi given Xi by the robust M-estimation method. The principal aim of this work is to prove the almost complete...

Persistent link: https://www.econbiz.de/10011040013

Using Bagidis in nonparametric functional data analysis: Predicting from curves with sharp local features

Timmermans, Catherine; Delsol, Laurent; von Sachs, Rainer - In: Journal of Multivariate Analysis 115 (2013) C, pp. 421-444

Our goal is to predict a scalar value or a group membership from the discretized observation of curves with sharp local features that might vary both vertically and horizontally. To this aim, we propose to combine the use of the nonparametric functional regression estimator developed by Ferraty...

Persistent link: https://www.econbiz.de/10011041886

Conditional estimation for dependent functional data

Battey, Heather; Sancetta, Alessio - In: Journal of Multivariate Analysis 120 (2013) C, pp. 1-17

estimators for functional data. We show via simulations and two empirical examples that the proposed NN estimator outperforms the …

Persistent link: https://www.econbiz.de/10011042038