4 papers
Spatial Confidence Regions for Excursion Sets with False Discovery Rate Control
Howon Ryu, Thomas Maullin-Sapey, Armin Schwartzman +1
Identifying areas where the signal is prominent is an important task in image analysis, with particular applications in brain mapping. In this work, we develop confidence regions f…
Consistency of heritability estimation from summary statistics in high-dimensional linear models
David Azriel, Samuel Davenport, Armin Schwartzman
In Genome-Wide Association Studies (GWAS), heritability is defined as the fraction of variance of an outcome explained by a large number of genetic predictors in a high-dimensional…
On the peak height distribution of non-stationary Gaussian random fields: 1D general covariance and scale space
Yu Zhao, Dan Cheng, Samuel Davenport +1
We study the peak height distribution of certain non-stationary Gaussian random fields. The explicit peak height distribution of smooth, non-stationary Gaussian processes in 1D wit…
Peak Inference for Gaussian Random Fields on a Lattice
Tuo Lin, Armin Schwartzman, Samuel Davenport
In this work we develop a Monte Carlo method to compute the height distribution of local maxima of a stationary Gaussian or Gaussian-related random field that is observed on a regu…