457 citations · 2.3k across the 77 of their papers we have counts for
14 papers · 1 filter
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 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…
Multiple testing of local maxima for detection of peaks on the (celestial) sphere
Dan Cheng, Valentina Cammarota, Yabebal Fantaye +2
We present a topological multiple testing scheme for detecting peaks on the sphere under isotropic Gaussian noise, where tests are performed at local maxima of the observed field f…
Needlet-Whittle Estimates on the Unit Sphere
Claudio Durastanti, Xiaohong Lan, Domenico Marinucci
We study the asymptotic behaviour of needlets-based approximate maximum likelihood estimators for the spectral parameters of Gaussian and isotropic spherical random fields. We prov…
Gaussian semiparametric estimates on the unit sphere
Claudio Durastanti, Xiaohong Lan, Domenico Marinucci
We study the weak convergence (in the high-frequency limit) of the parameter estimators of power spectrum coefficients associated with Gaussian, spherical and isotropic random fiel…
Adaptive Nonparametric Regression on Spin Fiber Bundles
Claudio Durastanti, Daryl Geller, Domenico Marinucci
The construction of adaptive nonparametric procedures by means of wavelet thresholding techniques is now a classical topic in modern mathematical statistics. In this paper, we exte…
Spin Needlets Spectral Estimation
Daryl Geller, Xiaohong Lan, Domenico Marinucci
We consider the statistical analysis of random sections of a spin fibre bundle over the sphere. These may be thought of as random fields that at each point p in take as a val…
On The Dependence Structure of Wavelet Coefficients for Spherical Random Fields
Xiaohong Lan, Domenico Marinucci
We consider the correlation structure of the random coefficients for a wide class of wavelet systems on the sphere (Mexican needlets) which were recently introduced in the literatu…
The needlets bispectrum
Xiaohong Lan, Domenico Marinucci
The purpose of this paper is to join two different threads of the recent literature on random fields on the sphere, namely the statistical analysis of higher order angular power sp…
Subsampling needlet coefficients on the sphere
P. Baldi, G. Kerkyacharian, D. Marinucci +1
In a recent paper, we analyzed the properties of a new kind of spherical wavelets (called needlets) for statistical inference procedures on spherical random fields; the investigati…
Polynomial Cointegration among Stationary Processes with Long Memory
Marco Avarucci, Domenico Marinucci
n this paper we consider polynomial cointegrating relationships among stationary processes with long range dependence. We express the regression functions in terms of Hermite polyn…
High Frequency Asymptotics for Wavelet-Based Tests for Gaussianity and Isotropy on the Torus
Paolo Baldi, Gérard Kerkyacharian, Domenico Marinucci +1
We prove a CLT for skewness and kurtosis of the wavelets coefficients of a stationary field on the torus. The results are in the framework of the fixed-domain asymptotics, i.e. we…
Asymptotics for spherical needlets
P. Baldi, G. Kerkyacharian, D. Marinucci +1
We investigate invariant random fields on the sphere using a new type of spherical wavelets, called needlets. These are compactly supported in frequency and enjoy excellent localiz…
The empirical process on Gaussian spherical harmonics
Domenico Marinucci, Mauro Piccioni
We establish weak convergence of the empirical process on the spherical harmonics of a Gaussian random field in the presence of an unknown angular power spectrum. This result sugge…