B0660
Title: Quadratic estimation of random field non-stationarity
Authors: Ethan Anderes - University of California at Davis (United States) [presenting]
Abstract: More than a decade ago two physicists, Wayne Hu and Takemi Okamoto, invented a new estimator for measuring the dark matter distortion imprinted on the our observations of the cosmic microwave background (which is a relic signal of the big bang). Their estimator, called the quadratic estimator, quickly became the state-of-the-art tool for the detecting, measuring and mapping dark matter. From a spatial statistics perspective this estimator has some remarkable properties. We present an analysis of the quadratic estimator in the context of both cosmology and in a more generalized setting of estimating random field non-stationarity. We also present some extensions to the quadratic estimator from both the frequentest and Bayesian perspective.
