The empirical process on Gaussian spherical harmonics
نویسندگان
چکیده
منابع مشابه
THE EMPIRICAL PROCESS ON GAUSSIAN SPHERICAL HARMONICS By Domenico Marinucci 1 and 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 suggests various Gaus-sianity tests with an asymptotic justification. The issue of testing for Gaussianity on isotropic spherical random fields has recently received strong empirical attention in the cosmological literatur...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 2004
ISSN: 0090-5364
DOI: 10.1214/009053604000000355