2 papers
math.PR2006
Some characterizations of the spherical harmonics coefficients for isotropic random fields
P. Baldi, D. Marinucci
In this paper we provide some simple characterizations for the spherical harmonics coefficients of an isotropic random field on the sphere. The main result is a characterization of…
math.ST2006
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…