Parametric estimation for functional autoregressive processes on the sphere

Published 19 Jul 2021 in math.ST and stat.TH | (2107.08900v1)

Abstract: The aim of this paper is to define a nonlinear least squares estimator for the spectral parameters of a spherical autoregressive process of order 1 in a parametric setting. Furthermore, we investigate on its asymptotic properties, such as weak consistency and asymptotic normality.

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