Representations of SO(3) and angular polyspectra (2008)
Marinucci, Domenico, Peccati, Giovanni
We characterize the angular polyspectra, of arbitrary order, associated with isotropic fields defined on the sphere S². Our techniques rely heavily on group representation theory, and specifically...
Representations of SO(3) and angular polyspectra (2008)
Marinucci, Domenico, Peccati, Giovanni
We characterize the angular polyspectra, of arbitrary order, associated with isotropic fields defined on the sphere S². Our techniques rely heavily on group representation theory, and specifically...
Statistical Challenges in the Analysis of Cosmic Microwave Background Radiation (2008)
Cabella, Paolo, Marinucci, Domenico
An enormous amount of observations on Cosmic Microwave Background radiation has been collected in the last decade, and much more data are expected in the near future from planned or operating...
Representations of SO(3) and angular plyspectra (2008)
Marinucci, Domenico, Peccati, Giovanni
We characterize the angular polyspectra, of arbitrary order, associated with isotropic fields defined on the sphere S^2. Our techniques rely heavily on group representation theory, and specifically...
On The Dependence Structure of Wavelet Coefficients for Spherical Random Fields (2008)
Lan, Xiaohong, Marinucci, Domenico
We consider the correlation structure of the random coefficients for a wide class of wavelet systems on the sphere which was recently introduced in the literature. We provide necessary and sufficient...
The needlets bispectrum (2008)
Lan, Xiaohong, Marinucci, Domenico
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 spectra on one hand,...
On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups (2007)
Baldi, Paolo; Universita Di Roma; Baldi@mat.uniroma2.it, Marinucci, Domenico; Universita Di Roma; Marinucc@mat.uniroma2.it, Varadarajan, Veeravalli S; University Of California Los Angeles; Vsv@math.ucla.edu
Let $T$ be a random field weakly invariant under the action of a compact group $G$. We give conditions ensuring that independence of the random Fourier coefficients is equivalent to Gaussianity. As a...
Marinucci, Domenico, Peccati, Giovanni
We study the weak convergence (in the high-frequency limit) of the frequency components associated with Gaussian-subordinated, spherical and isotropic random fields. In particular, we provide...
Marinucci, Domenico, Peccati, Giovanni
We study the weak convergence (in the high-frequency limit) of the frequency components associated with Gaussian-subordinated, spherical and isotropic random fields. In particular, we provide...
Subsampling Needlet Coefficients on the Sphere (2007)
Baldi, Paolo, Kerkyacharian, Gerard, Marinucci, Domenico, Picard, Dominique
In a recent paper, we analyzed the properties of a new kind of spherical wavelets (so-called needlets) for statistical inference procedures on spherical random fields; the results were mainly...
Marinucci, Domenico, Peccati, Giovanni
We study the weak convergence (in the high-frequency limit) of the frequency components associated with Gaussian-subordinated, spherical and isotropic random fields. In particular, we provide...
Marinucci, Domenico, Peccati, Giovanni
We study the weak convergence (in the high-frequency limit) of the frequency components associated with Gaussian-subordinated, spherical and isotropic random fields. In particular, we provide...
Marinucci, Domenico, Peccati, Giovanni
We study the weak convergence (in the high-frequency limit) of the frequency components associated with Gaussian-subordinated, spherical and isotropic random fields. In particular, we provide...
Dark Energy Constraints from Needlets Analysis of Wmap3 and NVSS Data (2006)
Pietrobon, Davide, Balbi, Amedeo, Marinucci, Domenico
We cross-correlate the new 3 year Wilkinson Microwave Anistropy Probe (WMAP3) cosmic microwave background (CMB) data with the NRAO VLA Sky Survey (NVSS) radio galaxy data, and find further evidence...
Polynomial Cointegration among Stationary Processes with Long Memory (2006)
Avarucci, Marco, Marinucci, Domenico
n this paper we consider polynomial cointegrating relationships among stationary processes with long range dependence. We express the regression functions in terms of Hermite polynomials and we...
High-frequency asymptotics for subordinated isotropic fields on an Abelian compact group (2006)
Marinucci, Domenico, Peccati, Giovanni
Let T* be a random field indexed by an Abelian compact group G, and suppose that T* has the form T* = F(T(g)), where T is Gaussian and isotropic. The aim of this paper is to establish high-frequency...
High-frequency asymptotics for subordinated isotropic fields on an Abelian compact group (2006)
Marinucci, Domenico, Peccati, Giovanni
Let T* be a random field indexed by an Abelian compact group G, and suppose that T* has the form T* = F(T(g)), where T is Gaussian and isotropic. The aim of this paper is to establish high-frequency...
High-frequency asymptotics for subordinated isotropic fields on an Abelian compact group (2006)
Marinucci, Domenico, Peccati, Giovanni
Let T* be a random field indexed by an Abelian compact group G, and suppose that T* has the form T* = F(T(g)), where T is Gaussian and isotropic. The aim of this paper is to establish high-frequency...
High-frequency asymptotics for subordinated isotropic fields on an Abelian compact group (2006)
Marinucci, Domenico, Peccati, Giovanni
Let T* be a random field indexed by an Abelian compact group G, and suppose that T* has the form T* = F(T(g)), where T is Gaussian and isotropic. The aim of this paper is to establish high-frequency...
High-frequency asymptotics for subordinated isotropic fields on an Abelian compact group (2006)
Marinucci, Domenico, Peccati, Giovanni
Let T* be a random field indexed by an Abelian compact group G, and suppose that T* has the form T* = F(T(g)), where T is Gaussian and isotropic. The aim of this paper is to establish high-frequency...
Pietrobon, Davide, Balbi, Amedeo, Marinucci, Domenico
We cross-correlate the new 3 year Wilkinson Microwave Anistropy Probe (WMAP) cosmic microwave background (CMB) data with the NRAO VLA Sky Survey (NVSS) radio galaxy data, and find further evidence of...
High Frequency Asymptotics for Wavelet-Based Tests for Gaussianity and Isotropy on the Torus (2006)
Baldi, Paolo, Kerkyacharian, Gérard, Marinucci, Domenico, Picard, Dominique
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 refer to...
High Frequency Asymptotics for Wavelet-Based Tests for Gaussianity and Isotropy on the Torus (2006)
Baldi, Paolo, Kerkyacharian, Gérard, Marinucci, Domenico, Picard, Dominique
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 refer to...
High-resolution asymptotics for the angular bispectrum of spherical random fields (2006)
In this paper we study the asymptotic behavior of the angular bispectrum of spherical random fields. Here, the asymptotic theory is developed in the framework of fixed-radius fields, which are...
High Frequency Asymptotics for Wavelet-Based Tests for Gaussianity and Isotropy on the Torus (2006)
Baldi, Paolo, Kerkyacharian, Gérard, Marinucci, Domenico, Picard, Dominique
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 refer to...
High Frequency Asymptotics for Wavelet-Based Tests for Gaussianity and Isotropy on the Torus (2006)
Baldi, Paolo, Kerkyacharian, Gérard, Marinucci, Domenico, Picard, Dominique
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 refer to...
Polynomial cointegration among stationary processes with long memory (2005)
Avarucci, Marco, Marinucci, Domenico
In this paper we consider polynomial cointegrating relationships among stationary processes with long range dependence. We express the regression functions in terms of Hermite polynomials and we...
High-resolution asymptotics for the angular bispectrum of spherical random fields (2005)
In this paper we study the asymptotic behavior of the angular bispectrum of spherical random fields. Here, the asymptotic theory is developed in the framework of fixed-radius fields, which are...
Polynomial cointegration among stationary processes with long memory (2005)
Avarucci, Marco, Marinucci, Domenico
In this paper we consider polynomial cointegrating relationships among stationary processes with long range dependence. We express the regression functions in terms of Hermite polynomials and we...
Polynomial cointegration among stationary processes with long memory (2005)
Avarucci, Marco, Marinucci, Domenico
In this paper we consider polynomial cointegrating relationships among stationary processes with long range dependence. We express the regression functions in terms of Hermite polynomials and we...
The empirical process on Gaussian spherical harmonics (2004)
Marinucci, Domenico, Piccioni, Mauro
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 suggests various...
The empirical process on Gaussian spherical harmonics (2004)
Marinucci, Domenico, Piccioni, Mauro
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 suggests various...
Testing for Non-Gaussianity on Cosmic Microwave Background Radiation: A Review (2004)
Cosmic microwave background (CMB) radiation can be viewed as a snapshot of the Universe 13 billion years ago, when it had 0.002% of its current age. A flood of data on CMB is becoming available...
Asymmetries in the local curvature of the WMAP data (2004)
Hansen, Frode K., Cabella, Paolo, Marinucci, Domenico, Vittorio, Nicola
We use the local curvature to investigate the possible existence of non-Gaussianity/asymmetry in the WMAP data. Considering the full sky we find results which are consistent with the Gaussian...
Search for non-Gaussianity in pixel, harmonic and wavelet space: compared and combined (2004)
Cabella, Paolo, Hansen, Frode, Marinucci, Domenico, Pagano, Daniele, Vittorio, Nicola
We present a comparison between three approaches to test non-Gaussianity of cosmic microwave background data. The Minkowski functionals, the empirical process method and the skewness of wavelet...
Hansen, Frode K., Marinucci, Domenico, Vittorio, Nicola
In (Hansen et al. 2002) we presented a new approach for measuring non-Gaussianity of the Cosmic Microwave Background (CMB) anisotropy pattern, based on the multivariate empirical distribution...
Hansen, Frode K., Marinucci, Domenico, Natoli, Paolo, Vittorio, Nicola
We present a new, model-independent approach for measuring non-Gaussianity of the Cosmic Microwave Background (CMB) anisotropy pattern. Our approach is based on the empirical distribution function of...
POLYNOMIAL COINTEGRATION AMONG STATIONARY PROCESSES WITH LONG MEMORY
Marco Avarucci, Domenico Marinucci
In this paper we consider polynomial cointegrating relationships among stationary processes with long range dependence. We express the regression functions in terms of Hermite polynomials and we...
Polynomial Cointegration between Stationary Processes with Long Memory
Marco Avarucci, Domenico Marinucci
In this paper we consider polynomial cointegrating relationships between stationary processes with long range dependence. We express the regression functions in terms of Hermite polynomials and we...
Polynomial Cointegration Between Stationary Processes With Long Memory
Marco Avarucci, Domenico Marinucci
In this article we consider polynomial cointegrating relationships between stationary processes with long range dependence. We express the regression functions in terms of Hermite polynomials and...