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LASSO estimation for spherical autoregressive processes

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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)… Click to show full 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.

Keywords: lasso estimation; spherical autoregressive; autoregressive processes; estimation spherical

Journal Title: Stochastic Processes and their Applications
Year Published: 2021

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