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

Parametric estimation for functional autoregressive processes on the sphere / Caponera, A.; Durastanti, C.. - In: THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS. - ISSN 0094-9000. - 106:0(2022), pp. 63-83. [10.1090/tpms/1165]

Parametric estimation for functional autoregressive processes on the sphere

Durastanti C.
2022

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
2022
High frequency asymptotics; NLS estimator; Parametric estimates; SPHAR (1) model; Spherical harmonics
01 Pubblicazione su rivista::01a Articolo in rivista
Parametric estimation for functional autoregressive processes on the sphere / Caponera, A.; Durastanti, C.. - In: THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS. - ISSN 0094-9000. - 106:0(2022), pp. 63-83. [10.1090/tpms/1165]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1674341
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