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The Astro-Statistics Working Group provides a forum for discussion of outstanding statistical problems in Astrophysics. Participants include faculty, researchers, graduate and undergraduate students. An international cross-disciplinary conference for statisticians and astronomers on methodological issues arising in astronomical research. The models account for absorption of photons, a continuum, several line profiles, stochastic instrument response, and background contamination. Our method for handling background counts is integrated into a model for the observed counts, thus avoiding the need for ad hoc solutions such as subtracting off counts and the embarrassing resulting difficulty of negative counts.