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

DOI10.1090/tpms/1053zbMath1409.60085OpenAlexW2805062908WikidataQ128342551 ScholiaQ128342551MaRDI QIDQ3120624

Nikolai N. Leonenko, María D. Ruiz-Medina

Publication date: 5 March 2019

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: http://orca.cf.ac.uk/107613/1/TIMS_18_LRM_Mink.pdf

zbMATH Keywords

Gaussian random fieldsKarhunen-Loéve expansioncentral and noncentral limit theoremschi-squared random fieldsspherical Rosenblatt distribution

Mathematics Subject Classification ID

Random fields (60G60) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10)

Related Items (5)

Sojourn functionals for spatiotemporal Gaussian random fields with long memory ⋮ Recent advances in directional statistics ⋮ Series Expansions of Fractional Brownian Motions and Strong Local Nondeterminism of Bifractional Brownian Motions on Balls and Spheres ⋮ Non-central limit theorems for functionals of random fields on hypersurfaces ⋮ On LSE in regression model for long-range dependent random fields on spheres

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