SPHARMA approximations for stationary functional time series on the sphere
A Caponera - Statistical Inference for Stochastic Processes, 2021 - Springer
In this paper, we focus on isotropic and stationary sphere-cross-time random fields. We first
introduce the class of spherical functional autoregressive-moving average processes …
introduce the class of spherical functional autoregressive-moving average processes …
Functional estimation of anisotropic covariance and autocovariance operators on the sphere
We propose nonparametric estimators for the second-order central moments of possibly
anisotropic spherical random fields, within a functional data analysis context. We consider a …
anisotropic spherical random fields, within a functional data analysis context. We consider a …
Asymptotics for isotropic Hilbert-valued spherical random fields
A Caponera - Bernoulli, 2024 - projecteuclid.org
In this paper, we introduce the concept of isotropic Hilbert-valued spherical random field,
thus extending the notion of isotropic spherical random field to an infinite-dimensional …
thus extending the notion of isotropic spherical random field to an infinite-dimensional …
Point pattern analysis and classification on compact two-point homogeneous spaces evolving time
MP Frías, A Torres, MD Ruiz-Medina - Stochastic Environmental Research …, 2023 - Springer
This paper introduces a new modeling framework for the statistical analysis of point patterns
on a manifold M d, defined by a connected and compact two-point homogeneous space …
on a manifold M d, defined by a connected and compact two-point homogeneous space …
[PDF][PDF] Nonparametric Estimation of Covariance and Autocovariance Operators on the Sphere
We propose nonparametric estimators for the second-order central moments of spherical
random fields within a functional data context. We consider a measurement framework …
random fields within a functional data context. We consider a measurement framework …
Parametric estimation for functional autoregressive processes on the sphere
A Caponera, C Durastanti - Theory of Probability and Mathematical …, 2022 - ams.org
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 …
parameters of a spherical autoregressive process of order 1 in a parametric setting …