单位球面上的Needlet-Whittle估计
Needlet-Whittle Estimates on the Unit Sphere
摘要：
本文研究了高斯和各向同性球面随机场谱参数的Needlets近似极大似然估计的渐近性质。我们证明了在高频极限下的一致性和渐近高斯性，从而推广了Durastanti等人（2011）基于球面上标准傅里叶分析的早期结果。渐近结果，然后说明了广泛的Monte Carlo研究。
英文摘要：
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.
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