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Poisson vs. Gaussia...
Poisson vs. Gaussian statistics for sparse X-ray data : Application to the soft X-ray spectrometer
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- Yamada, Shinya (author)
- Tokyo Metropolitan Univ, Dept Phys, 1-1 Minami Osawa, Hachioji, Tokyo 1920397, Japan.
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- Axelsson, Magnus (author)
- KTH,Partikel- och astropartikelfysik,Tokyo Metropolitan Univ, Dept Phys, 1-1 Minami Osawa, Hachioji, Tokyo 1920397, Japan.
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- Ishisaki, Yoshitaka (author)
- Tokyo Metropolitan Univ, Dept Phys, 1-1 Minami Osawa, Hachioji, Tokyo 1920397, Japan.
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- Konami, Saori (author)
- Tokyo Metropolitan Univ, Dept Phys, 1-1 Minami Osawa, Hachioji, Tokyo 1920397, Japan.
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- Takemura, Nozomi (author)
- Tokyo Metropolitan Univ, Dept Phys, 1-1 Minami Osawa, Hachioji, Tokyo 1920397, Japan.
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- Kelley, Richard L. (author)
- NASA, Goddard Space Flight Ctr, 8800 Greenbelt Rd, Greenbelt, MD 20771 USA.;Lawrence Livermore Natl Lab, 7000 East Ave, Livermore, CA 94550 USA.
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- Kilbourne, Caroline A. (author)
- NASA, Goddard Space Flight Ctr, 8800 Greenbelt Rd, Greenbelt, MD 20771 USA.;Lawrence Livermore Natl Lab, 7000 East Ave, Livermore, CA 94550 USA.
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- Leutenegger, Maurice A. (author)
- NASA, Goddard Space Flight Ctr, 8800 Greenbelt Rd, Greenbelt, MD 20771 USA.;Lawrence Livermore Natl Lab, 7000 East Ave, Livermore, CA 94550 USA.
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- Porter, F. Scott (author)
- NASA, Goddard Space Flight Ctr, 8800 Greenbelt Rd, Greenbelt, MD 20771 USA.;Lawrence Livermore Natl Lab, 7000 East Ave, Livermore, CA 94550 USA.
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- Eckart, Megan E. (author)
- Yale Univ, Dept Phys, POB 208120, New Haven, CT 06520 USA.
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- Szymkowiak, Andrew (author)
- Yale Univ, Dept Phys, POB 208120, New Haven, CT 06520 USA.
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Tokyo Metropolitan Univ, Dept Phys, 1-1 Minami Osawa, Hachioji, Tokyo 1920397, Japan Partikel- och astropartikelfysik (creator_code:org_t)
- 2019-07-19
- 2019
- English.
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In: Publications of the Astronomical Society of Japan. - : OXFORD UNIV PRESS. - 0004-6264 .- 2053-051X. ; 71:4
- Related links:
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https://academic.oup...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
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- Reliable results when fitting X-ray data require proper consideration of the statistics involved. We probe the impact of Gaussian versus Poisson statistics at low count levels using both the standard chi(2) method and maximum likelihood based on Poisson studied and quantified through simulated spectra with known properties. We then test the results through analysis of Mn K alpha calibration data taken with the flight spare microcalorimeter for the Hitomi soft X-ray spectrometer. Through comparison with simulations, our results show that the chi(2) method tends to give overly optimistic estimates of the detector energy resolution, in particular when there are few counts. Given an energy resolution of similar to 5eV and a line with about 100 photons, the line width becomes similar to 10% lower in the chi(2) method than in Poisson statistics. This is a consequence of the uncertainties being dominated by counting statistics, and therefore highlights the need to choose the appropriate fit statistic.
Subject headings
- NATURVETENSKAP -- Fysik -- Astronomi, astrofysik och kosmologi (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Astronomy, Astrophysics and Cosmology (hsv//eng)
Keyword
- instrumentation: detectors
- methods: data analysis
- methods: statistical
Publication and Content Type
- ref (subject category)
- art (subject category)
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- By the author/editor
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Yamada, Shinya
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Axelsson, Magnus
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Ishisaki, Yoshit ...
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Konami, Saori
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Takemura, Nozomi
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Kelley, Richard ...
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Kilbourne, Carol ...
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Leutenegger, Mau ...
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Porter, F. Scott
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Eckart, Megan E.
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Szymkowiak, Andr ...
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- NATURAL SCIENCES
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NATURAL SCIENCES
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Royal Institute of Technology