An approximation to cluster size distribution of two Gaussian random fields conjunction with application to fMRI data

DOI10.1016/j.jspi.2011.01.018zbMath1214.62098OpenAlexW1982378056MaRDI QIDQ2431577

M. T. Alodat

Publication date: 15 April 2011

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2011.01.018

zbMATH Keywords

conjunctionexcursion set

Mathematics Subject Classification ID

Related Items (11)

Almost sure central limit theorems for the maxima of Gaussian functions ⋮ The asymptotic relation between the first crossing point and the last exit time of Gaussian order statistics sequences ⋮ An approximation to cluster size distribution of two Gaussian random fields conjunction with application to fMRI data ⋮ Conjunction probability of smooth centered Gaussian processes ⋮ Unnamed Item ⋮ On the probability of conjunctions of stationary Gaussian processes ⋮ Extremes of vector-valued Gaussian processes: exact asymptotics ⋮ Unnamed Item ⋮ Extremes of stationary random fields on a lattice ⋮ Comparison Inequalities for Order Statistics of Gaussian Arrays ⋮ Extremes of order statistics of stationary processes

Uses Software

• FMRISTAT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Probability approximations via the Poisson clumping heuristic
• The geometry of correlation fields with an application to functional connectivity of the brain
• Estimating the number of peaks in a random field using the Hadwiger characteristic of excursion sets, with applications to medical images
• A test for a conjunction
• An approximation to cluster size distribution of two Gaussian random fields conjunction with application to fMRI data
• Duration Distribution of the Conjunction of Two Independent F Processes
• Local Maxima and the Expected Euler Characteristic of Excursion Sets of χ ², F and t Fields
• The size of the connected components of excursion sets of χ², t and F fields

This page was built for publication: An approximation to cluster size distribution of two Gaussian random fields conjunction with application to fMRI data