Tilted Euler characteristic densities for central limit random fields, with application to ``bubbles

DOI10.1214/07-AOS549zbMath1226.60075arXiv0811.0757OpenAlexW3099032736MaRDI QIDQ955150

B. E. Eshmatov

Publication date: 18 November 2008

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0757

zbMATH Keywords

saddlepoint approximationPoisson processthresholdexcursion setisotropic field

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Classical differential geometry (53A99) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

Asymptotic expansion of the expected Minkowski functional for isotropic central limit random fields, Some asymptotic results of Gaussian random fields with varying mean functions and the associated processes, Tilted Euler characteristic densities for central limit random fields, with application to ``bubbles, On the area of excursion sets of spherical Gaussian eigenfunctions, The topology of probability distributions on manifolds

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