Gaussian Semiparametric Estimates on the Unit Sphere

Details Gaussian Semiparametric Estimates on the Unit Sphere Gaussian Semiparametric Estimates on the Unit Sphere

2011-10-17

arxiv.org/abs/1110.3777v2

Mathematics

Statistics Theory

41 pages, 3 figures

Scientific paper

We study the weak convergence (in the high-frequency limit) of the parameter
estimators of power spectrum coefficients associated with spherical and
isotropic Gaussian random fields. In particular, we introduce a Whittle-type
approximate maximum likelihood estimator and we investigate its asympotic weak
consistency and Gaussianity, in both parametric and semiparametric cases.

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