205 citations · 675 across the 14 of their papers we have counts for
6 papers · 1 filter
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…