6 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…
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…