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2013 Needlet-Whittle estimates on the unit sphere
Claudio Durastanti, Xiaohong Lan, Domenico Marinucci
Electron. J. Statist. 7: 597-646 (2013). DOI: 10.1214/13-EJS782

Abstract

We study the asymptotic behaviour of needlets-based approximate maximum likelihood estimators for the spectral parameters of Gaussian and isotropic spherical random fields. We prove consistency and asymptotic Gaussianity, in the high-frequency limit, thus generalizing earlier results by Durastanti et al. (2011) based upon standard Fourier analysis on the sphere. The asymptotic results are then illustrated by an extensive Monte Carlo study.

Citation

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Claudio Durastanti. Xiaohong Lan. Domenico Marinucci. "Needlet-Whittle estimates on the unit sphere." Electron. J. Statist. 7 597 - 646, 2013. https://doi.org/10.1214/13-EJS782

Information

Published: 2013
First available in Project Euclid: 14 March 2013

zbMATH: 1337.62287
MathSciNet: MR3035267
Digital Object Identifier: 10.1214/13-EJS782

Subjects:
Primary: ‎42C40, 60G60, 62M15, 62M30

Rights: Copyright © 2013 The Institute of Mathematical Statistics and the Bernoulli Society

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