Needlet-Whittle estimates on the unit sphere

DOI10.1214/13-EJS782zbMath1337.62287arXiv1202.1399MaRDI QIDQ1951129

Claudio Durastanti, Xiaohong Lan, Domenico Marinucci

Publication date: 29 May 2013

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1399

zbMATH Keywords

spherical random fieldsneedletsWhittle likelihoodhigh frequency asymptoticsparametric and semiparametric estimates

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40) Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Inference from stochastic processes and spectral analysis (62M15)

Related Items (12)

On normal approximations for the two-sample problem on multidimensional tori ⋮ Parametric estimation for functional autoregressive processes on the sphere ⋮ Nonparametric needlet estimation for partial derivatives of a probability density function on the d -torus ⋮ Flexible-bandwidth needlets ⋮ On the limiting behaviour of needlets polyspectra ⋮ Quantitative central limit theorems for Mexican needlet coefficients on circular Poisson fields ⋮ Exact risk improvement of bandwidth selectors for kernel density estimation with directional data ⋮ Estimation of the covariance function of Gaussian isotropic random fields on spheres, related Rosenblatt-type distributions and the cosmic variance problem ⋮ Lasso estimation for spherical autoregressive processes ⋮ DomenicoMarinucci and GiovanniPeccati, Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications London Mathematical Society Lecture Notes Series 389. Published by the Cambridge University Press, Cambridge, 2011. Number of pages: 341. Price £40.00, ISBN 978‐0‐521‐17561‐6 ⋮ Aliasing effects for random fields over spheres of arbitrary dimension ⋮ Block thresholding on the sphere

Uses Software

• Healpix

Cites Work

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