Mathematics – Probability
Scientific paper
Oct 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990asee.nasaq....h&link_type=abstract
In Alabama Univ., Research Reports: 1990 NASA/ASEE Summer Faculty Fellowship Program 5 p (SEE N91-18967 10-99)
Mathematics
Probability
Angular Distribution, Astronomical Catalogs, Computer Programs, Gamma Ray Bursts, Monte Carlo Method, Probability Theory, Spatial Distribution, Statistical Analysis, Applications Programs (Computers), Charts, Flux Quantization, Fortran, Gamma Ray Observatory, Nasa Programs, Spectral Resolution, Temporal Resolution, University Program
Scientific paper
The Burst and Transient Source Experiment (BATSE) on the Gamma Ray Observatory (GRO) is designed to study astronomical gamma ray sources and to provide better positional, spectral, and time resolution about these objects than has previously been possible from one experiment. The procedure to be used in the analysis of the gamma ray burst spatial distribution is presented. Data is input from BATSE via the Gamma Ray Burst Catalog (listing individual burst positions, flux values, and associated errors) and the Sky Sensitivity Map (which summarizes observational selection effects in table format). A FORTRAN program generates Monte Carlo burst catalogs, which are models to be compared to the actual distribution. The Monte Carlo models are then filtered through the Sky Sensitivity Map so that they suffer from the same selection effects as the actual catalog data. Additionally, each burst position is converted into a probability distribution to mimic BATSE positional sensitivity. The Burst Catalog, Monte Carlo burst catalog, and Sky Sensitivity Map are then passed onto an IDL program that compares the catalogs for statistical significance. The Sky Sensitivity Map is used to estimate how often each sky area is observed above the minimum flux level in question. Each burst found in this sky area is then weighted according to the frequency with which this sky area is observed. The catalogs are then compared via tests of homogeneity (based on their radial distributions) and isotropy (based upon their angular distributions). The results of the statistical comparisons along with graphs and charts of the summaries, are output from the IDL program for study.
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