Detecting sparse cone alternatives for Gaussian random fields, with an application to fMRI

DOI10.5705/ss.2012.218szbMath1417.62119arXiv1207.3840OpenAlexW2962956183MaRDI QIDQ2864547

Jonathan E. Taylor, Keith J. Worsley

Publication date: 25 November 2013

Published in: Statistica Sinica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3840

zbMATH Keywords

Euler characteristicrandom fieldsorder-restricted inferencenon-negative least squareskinematic formulaemultivariate one-sided hypothesesvolumes of tubes expansion

Mathematics Subject Classification ID

Random fields (60G60) Nonparametric hypothesis testing (62G10) Gaussian processes (60G15) Statistics of extreme values; tail inference (62G32)

Related Items (4)

Computation of the expected Euler characteristic for the largest eigenvalue of a real non-central Wishart matrix ⋮ Testing One Hypothesis Multiple Times: The Multidimensional Case ⋮ Random fields of multivariate test statistics, with applications to shape analysis ⋮ The volume-of-tube method for Gaussian random fields with inhomogeneous variance

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