Chi-squared and C statistic minimization for low count per bin data

Details Chi-squared and C statistic minimization for low count per bin data Chi-squared and C statistic minimization for low count per bin data

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...342.1207n&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 342, July 15, 1989, p. 1207-1211.

Astronomy and Astrophysics

Astronomy

68

Computerized Simulation, Data Flow Analysis, Data Sampling, Statistical Analysis, X Ray Astronomy, Mathematical Models, Optimization, Universe

Scientific paper

Results are presented from a computer simulation comparing two statistical fitting techniques on data samples with large and small counts per bin; the results are then related specifically to X-ray astronomy. The Marquardt and Powell minimization techniques are compared by using both to minimize the chi-squared statistic. In addition, Cash's C statistic is applied, with Powell's method, and it is shown that the C statistic produces better fits in the low-count regime than chi-squared.

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