DMCA
Multiple Concentric Annuli for Characterizing Spatially Nonuniform Backgrounds (1998)
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BibTeX
@MISC{Theiler98multipleconcentric,
author = {James Theiler and Jeff Bloch},
title = {Multiple Concentric Annuli for Characterizing Spatially Nonuniform Backgrounds},
year = {1998}
}
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Abstract
A method is presented for estimating the background at a given location on a sky map by interpolating the estimated background from a set of concentric annuli which surround this location. If the background is nonuniform but smoothly varying, this method provides a more accurate (though less precise) estimate than can be obtained with a single annulus. Several applications of multi-annulus background estimation are discussed, including direct testing for point sources in the presence of a nonuniform background, the generation of "surrogate maps" for characterizing false alarm rates, and precise testing of the null hypothesis that the background is uniform. Subject headings: methods: data analysis --- methods: statistical --- surveys --- stars: imaging --- ultraviolet: stars 1. Introduction This study is motivated by the search for rare bright transient point sources in count-limited sky maps generated from data taken by the ALEXIS (Array of Low Energy X-ray Imaging Sensors) satellite....
Keyphrases
characterizing spatially nonuniform background multiple concentric annulus several application false alarm rate precise testing concentric annulus multi-annulus background estimation single annulus sky map subject heading statistical survey star rare bright transient point source data analysis method direct testing count-limited sky map smoothly varying null hypothesis point source surrogate map imaging ultraviolet low energy x-ray imaging sensor nonuniform background
