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arXiv · 1911.11470

LASSO estimation for spherical autoregressive processes

Alessia Caponera·Claudio Durastanti·Anna Vidotto
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Abstract

The purpose of the present paper is to investigate on a class of spherical functional autoregressive processes in order to introduce and study LASSO (Least Absolute Shrinkage and Selection Operator) type estimators for the corresponding autoregressive kernels, defined in the harmonic domain by means of their spectral decompositions. Some crucial properties for these estimators are proved, in particular, consistency and oracle inequalities.

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Alessia Caponera, Claudio Durastanti, Anna Vidotto. 2019-11-26. LASSO estimation for spherical autoregressive processes. https://arxiv.org/abs/1911.11470

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