English

Parametric estimation for functional autoregressive processes on the sphere

Statistics Theory 2021-07-20 v1 Statistics Theory

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.

Keywords

Cite

@article{arxiv.2107.08900,
  title  = {Parametric estimation for functional autoregressive processes on the sphere},
  author = {Alessia Caponera and Claudio Durastanti},
  journal= {arXiv preprint arXiv:2107.08900},
  year   = {2021}
}

Comments

17 pages

R2 v1 2026-06-24T04:19:32.167Z