Statistical Analysis of Random Fields in Cosmology

Session

Chair: Satoshi Kuriki

4 Mar 2024, 11:00

Tsukuba Campus, KEK, Tsukuba, Japan

Conveners

Chair: Satoshi Kuriki

• Satoshi Kuriki

28. Peak height distributions of Gaussian random fields and their statistical applications

Dan Cheng

04/03/2024, 11:00

Motivated by computing p-values for multiple testing of local maxima in signal and change point detections, we study the height distribution of local maxima of smooth isotropic Gaussian random fields parameterized on Euclidean space or spheres. The obtained formulae hold in general in the sense that there are no restrictions on the covariance function of the field except for smoothness and...