Multiple testing of local maxima for detection of peaks on the (celestial) sphere

DOI10.3150/18-BEJ1068zbMath1446.62254arXiv1602.08296OpenAlexW2962838802MaRDI QIDQ2278653

Dan Cheng, Yabebal Fantaye, Valentina Cammarota, Armin Schwartzman, Domenico Marinucci

Publication date: 5 December 2019

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08296

zbMATH Keywords

multiple testingfalse discovery rateGaussian random fieldsheight distributionSTEM algorithmsignal-plus-noise modelovershoot distributioncosmic microwave background radiation fieldisotropic field on the unit sphereMexican needlet transformtopological multiple testing scheme

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40) Applications of statistics to physics (62P35) Waves and radiation in optics and electromagnetic theory (78A40) Radiative transfer in astronomy and astrophysics (85A25) Paired and multiple comparisons; multiple testing (62J15) Topological data analysis (62R40)

Related Items (7)

Asymptotics for spherical functional autoregressions ⋮ Recent advances in directional statistics ⋮ Flexible-bandwidth needlets ⋮ Estimation of expected Euler characteristic curves of nonstationary smooth random fields ⋮ Expected number and height distribution of critical points of smooth isotropic Gaussian random fields ⋮ Multiple testing of local maxima for detection of peaks on the (celestial) sphere ⋮ No repulsion between critical points for planar Gaussian random fields

Uses Software

• Healpix

Cites Work

• Unnamed Item
• On the distribution of the critical values of random spherical harmonics
• Multiple testing of local maxima for detection of peaks in 1D
• On the dependence structure of wavelet coefficients for spherical random fields
• Mean-square continuity on homogeneous spaces of compact groups
• Nearly tight frames and space-frequency analysis on compact manifolds
• Asymptotics for spherical needlets
• Asymptotic uncorrelation for Mexican needlets
• Anisotropies in the cosmic microwave background: Theoretical foundations
• Expected number and height distribution of critical points of smooth isotropic Gaussian random fields
• Multiple testing of local maxima for detection of peaks in random fields
• Multiple testing of local maxima for detection of peaks on the (celestial) sphere
• Distribution of the height of local maxima of Gaussian random fields
• Fixed-domain asymptotics for a subclass of Matérn-type Gaussian random fields
• Continuous wavelets on compact manifolds
• Random Fields on the Sphere
• Localized Tight Frames on Spheres

This page was built for publication: Multiple testing of local maxima for detection of peaks on the (celestial) sphere