Gaussian Semiparametric Estimates on the Unit Sphere

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.

• Publication year

  2011

• Venue

  Bernoulli

• Publication date

  2011-10-17

• Fields of study

  Mathematics

• Identifiers
  DOI 10.3150/12-BEJ475arXiv 1110.3777
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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