Non-parametric estimates of high energy gamma-ray source distributions

Details Non-parametric estimates of high energy gamma-ray source distributions Non-parametric estimates of high energy gamma-ray source distributions

May 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997aipc..410.1601d&link_type=abstract

The fourth compton symposium. AIP Conference Proceedings, Volume 410, pp. 1601-1605 (1997).

Mathematics

1

Gamma-Ray Sources, Gamma-Ray Bursts, Gamma-Ray, Mathematical Procedures And Computer Techniques

Scientific paper

We discuss the application of non-parametric techniques to EGRET data, to estimate source intensity distributions. The methods used are model independent, or they use the model as the null hypothesis in a non-parametric testing framework. Two particular techniques are applied, both employing wavelets. TIPSH denoising operates directly on the data, recovering the statistically significant residual based on a null hypothesis. Basis Pursuit Inversion also accounts for the instrumental response, and estimates the ``unblurred'' source distribution. In addition, the Basis Pursuit Inversion framework allows us to estimate point and diffuse contributions separately.

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