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arXiv · 1110.3777

Gaussian semiparametric estimates on the unit sphere

Claudio Durastanti·Xiaohong Lan·Domenico Marinucci
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Abstract

We study the weak convergence (in the high-frequency limit) of the parameter estimators of power spectrum coefficients associated with Gaussian, spherical and isotropic 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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Claudio Durastanti, Xiaohong Lan, Domenico Marinucci. 2014-02-04. Gaussian semiparametric estimates on the unit sphere. https://doi.org/10.3150/12-bej475

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