Leonenko, Nikolai ![]() ![]() |
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Official URL: http://dx.doi.org/10.1214/18-EJS1473
Abstract
We consider the problem of estimating the covariance function of an isotropic Gaussian stochastic field on the unit sphere using a single observation at each point of the discretized sphere. The spatial estimator of the covariance function is expressed in a new form which provides, on one hand a way to derive the characteristic function of the estimator, and on the other hand a computationally efficient method to do so. We also describe a methodology for handling the presence of the cosmic variance which can impair the results. In simulation, we use the pixelization scheme HEALPix.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Publisher: | Institute of Mathematical Statistics |
ISSN: | 1935-7524 |
Date of First Compliant Deposit: | 28 August 2018 |
Date of Acceptance: | 27 August 2018 |
Last Modified: | 07 Nov 2023 00:49 |
URI: | https://orca.cardiff.ac.uk/id/eprint/114399 |
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