Robust depth-based estimation of the functional autoregressive model

Martínez-Hernández, Israel and Genton, Marc G. and González-Farías, Graciela (2019) Robust depth-based estimation of the functional autoregressive model. Computational Statistics and Data Analysis, 131. pp. 66-79. ISSN 0167-9473

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Abstract

A robust estimator for functional autoregressive models is proposed, the Depth-based Least Squares (DLS) estimator. The DLS estimator down-weights the influence of outliers by using the functional directional outlyingness as a centrality measure. It consists of two steps: identifying the outliers with a two-stage functional boxplot, then down-weighting the outliers using the functional directional outlyingness. Theoretical properties of the DLS estimator are investigated such as consistency and boundedness of its influence function. Through a Monte Carlo study, it is shown that the DLS estimator performs better than estimators based on Principal Component Analysis (PCA) and robust PCA, which are the most commonly used. To illustrate a practical application, the DLS estimator is used to analyze a dataset of ambient CO2 concentrations in California.

Item Type:
Journal Article
Journal or Publication Title:
Computational Statistics and Data Analysis
Additional Information:
High-dimensional and functional data analysis
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2613
Subjects:
ID Code:
159929
Deposited By:
Deposited On:
22 Sep 2021 15:41
Refereed?:
Yes
Published?:
Published
Last Modified:
23 Sep 2021 11:45