Parameter estimation in astronomy with Poisson-distributed data. I. The X2y statistic

Astrophysical Journal

Volumn 518, Issue 1 PART 1, 1999, Pages 380-393

  Mighell, Kenneth J ^a  

^a KITT PEAK NATIONAL OBSERVATORY   (United States)

Author keywords

Methods: numerical; Methods: statistical; X rays: general

Indexed keywords

EID: 0033542296     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/307253     Document Type: Article

References (15)

1. Abramowitz, M., & Stegun, I. 1964, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Applied Mathematics Series 55, ed. M. Abramowitz & I. Stegun (Washington, DC: NBS)
2. Acton, F. S. 1970, Numerical Methods That Work (New York: Harper & Row)
3. Baker, S., & Cousins, R. D. 1984, Nucl. Instrum. Methods Phys. Res., 221, 437
4. Bevington, P. R. 1969, Data Reduction and Error Analysis for the Physical Sciences (New York: McGraw-Hill)
5. Cash, W. 1979, ApJ, 228, 939
6. Gehrels, N. 1986, ApJ, 303, 336
7. Gill, P. E., Murray, W., & Wright, M. H. 1981, Practical Optimization (New York: Academic)
8. Levenberg, K. 1944, Q. Appl. Math., 2, 164
9. Marquardt, D. 1963, J. SIAM, 11, 431
10. Neyman, J., & Pearson, E. S. 1928, Biometrica, 20A, 263
11. Nousek, J. A., & Shue, D. R. 1989, ApJ, 342, 1207
12. Poisson, S.-D. 1837, Recherches sur la Probabilité des Jugements en Matière Criminelle et en Matière Civile (Paris: Bachelier)
13. Powell, M. J. D. 1964, Comput. J., 7, 155
14. Press, W. H., Flannery, B. P., Teukolsky, S. A., & Vetterling, W. T. 1986, Numerical Recipes (Cambridge: Cambridge Univ. Press)
15. Wheaton, W. A., et al. 1995, ApJ, 438, 322