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

Leonenko, Nikolai ORCID: https://orcid.org/0000-0003-1932-4091 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 Nov 2024 05:45
URI:	https://orca.cardiff.ac.uk/id/eprint/107613

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