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Increasing domain asymptotics for the first Minkowski functional of spherical random fields

Leonenko, Nikolai and Ruiz-Medina, M.D. 2017. Increasing domain asymptotics for the first Minkowski functional of spherical random fields. Theory of Probability and Mathematical Statistics 97 , pp. 127-149. 10.1090/tpms/1053

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Abstract

The restriction to the sphere of a homogeneous and isotropic random field defines a spherical isotropic random field. This paper derives central and noncentral limit results for the first Minkowski functional subordinated to homogeneous and isotropic Gaussian and chi-squared random fields, restricted to the sphere in R3. Both scenarios are motivated by their interesting applications in the analysis of the Cosmic Microwave Background (CMB) radiation.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Data Innovation Research Institute (DIURI)
Mathematics
Publisher: American Mathematical Society
ISSN: 0094-9000
Date of First Compliant Deposit: 15 December 2017
Date of Acceptance: 15 December 2017
Last Modified: 28 Jun 2019 13:36
URI: http://orca.cf.ac.uk/id/eprint/107613

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