1 citations · 1 across the 11 of their papers we have counts for
14 papers
Change Point Detection for Functional Autoregressive Processes on the Sphere
Federica Spoto, Alessia Caponera, Pierpaolo Brutti
We introduce a novel framework for change point detection in spherical functional autoregressive (SPHAR) processes, enabling the identification of structural breaks in spatio-tempo…
Functional Gaussian Fields on Hyperspheres with their Equivalent Gaussian Measures
Alessia Caponera, Vinicius Ferreira, Emilio Porcu
We develop a general framework for isotropic functional Gaussian fields on the -dimensional sphere , where the field takes values in a separable Hilbert space $\…
Low-Dose Tomography of Random Fields and the Problem of Continuous Heterogeneity
Ho Yun, Alessia Caponera, Victor M. Panaretos
We consider the problem of nonparametric estimation of the conformational variability in a population of related structures, based on low-dose tomography of a random sample of repr…
Fractional Cointegration of Geometric Functionals
Alessia Caponera, Domenico Marinucci, Anna Vidotto
In this paper, we show that geometric functionals (e.g., excursion area, boundary length) evaluated on excursion sets of sphere-cross-time long memory random fields can exhibit fra…
On the Estimation of Anisotropic Covariance Functions on Compact Two-Point Homogeneous Spaces
Alessia Caponera
In this paper, the asymptotic theory presented in (Caponera et al., 2022) for spline-type anysotropic covariance estimator on the 2-dimensional sphere is generalized to the case of…
Sojourn functionals of time-dependent -random fields on two-point homogeneous spaces
Alessia Caponera, Maurizia Rossi, María Dolores Ruiz Medina
In this note we investigate geometric properties of invariant spatio-temporal random fields defined on a compact two-point homogeneous…
Multi-Scale CUSUM Tests for Time Dependent Spherical Random Fields
Alessia Caponera, Domenico Marinucci, Anna Vidotto
This paper investigates the asymptotic behavior of structural break tests in the harmonic domain for time dependent spherical random fields. In particular, we prove a functional ce…
Asymptotics for isotropic Hilbert-valued spherical random fields
Alessia Caponera
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…
On the rate of convergence for the autocorrelation operator in functional autoregression
Alessia Caponera, Victor M. Panaretos
We consider the problem of estimating the autocorrelation operator of an autoregressive Hilbertian process. By means of a Tikhonov approach, we establish a general result that yiel…
Functional Estimation of Anisotropic Covariance and Autocovariance Operators on the Sphere
Alessia Caponera, Julien Fageot, Matthieu Simeoni +1
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 m…
Parametric estimation for functional autoregressive processes on the sphere
Alessia Caponera, Claudio Durastanti
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. Further…
SPHARMA approximations for stationary functional time series on the sphere
Alessia Caponera
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 (S…
LASSO estimation for spherical autoregressive processes
Alessia Caponera, Claudio Durastanti, Anna Vidotto
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 S…
Asymptotics for Spherical Functional Autoregressions
Alessia Caponera, Domenico Marinucci
In this paper, we investigate a class of spherical functional autoregressive processes, and we discuss the estimation of the corresponding autoregressive kernels. In particular, we…