Comparison of maximum likelihood estimation and chi-square statistics applied to counting experiments

Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Volumn 457, Issue 1-2, 2001, Pages 384-401

  Hauschild, T ^a   Jentschel, M ^a  

^a INSTITUT LAUE LANGEVIN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; GAMMA RAY SPECTROMETERS; MAXIMUM LIKELIHOOD ESTIMATION; POISSON DISTRIBUTION; SPECTROSCOPY; STATISTICS;

CHI-SQUARE STATISTICS; GAMMA RAY SPECTROSCOPY;

RADIATION COUNTERS;

EID: 0035155563     PISSN: 01689002     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9002(00)00756-7     Document Type: Article

References (28)

1. Jentschel M., Heinig K.H., Börner H.G., Jolie J., Kessler E.G. Nucl. Instr. and Meth. B 115:1996;446.
2. Stritt N., Jolie J., Jentschel M., Börner H.G., Doll C. Phys. Rev. B 59:1999;6762.
3. Stritt N., Jolie J., Jentschel M., Börner H.G., Lehmann H. Phys. Rev. B. 60:1999;6476.
4. Mighell K.J. Astrophys. J. 518:1999;380.
5. Stoneking M.R., Den Hartog D.J. Rev. Sci. Instr. 68:1997;914.
6. Haight F.A. Handbook of the Poisson distribution, Publications in Operations Research, Vol. 11. 1967;Wiley, New York.
7. Baker S., Cousins R.D. Nucl. Instr. and Meth. 221:1984;437.
8. Awaya T. Nucl. Instr. and Meth. 165:1979;317.
9. Bevington P.R., Robinson D.K. Data Reduction and Error Analysis for the Physical Sciences. 2nd Edition:1992;McGraw-Hill, New York.
10. Wheaton W.A., Dunklee A.L., Jacobson A.S., Ling J.C., Mahoney W.A., Radocinski R.G. Astrophys. J. 438:1995;322.
11. Cash W. Astrophys. J. 228:1979;939.
12. Gregorich K.E. Nucl. Instr. and Meth. A. 302:1991;135.
13. Jading Y., Riisager K. Nucl. Instr. and Meth. A. 372:1996;289.
14. Blobel V., Lohrmann E. Statistische und numerische Methoden der Datenanalyse. 1998;Teubner, Stuttgart.
15. Sandor T., Wilson G.D. Comp. Progr. Biomed. 2:1972;111.
16. Muravsky V.A., Tolstov S.A., Kholmetskii A.L. Nucl. Instr. and Meth. B. 145:1998;573.
17. Hannam M.D., Thompson W.J. Nucl. Instr. and Meth. A. 431:1999;239.
18. Eadie W.T., Drijard D., James F.E., Roos M., Sadoulet B. Statistical Methods in Experimental Physics. 1st Edition:1971;North-Holland Publishing, Amsterdam.
19. Press W.H., Flannery B.P., Teukolsky S.A., Vetterling W.T. Numerical Recipes. The Art of Scientific Computing. 1989;Cambridge University Press, Cambridge.
20. Wilks S.S. Mathematical Statistics. 2nd Printing Edition:1963;Wiley, New York.
21. Hoel P.G. Introduction to Mathematical Statistics. 2nd Edition:1954;Wiley, New York.
22. S. Brandt, Datenanalyse, 4th Edition, Spektrum, Akad. Verl., Heidelberg, 1999.
23. Neyman J., Pearson E.S. Biometrika. 20 A:1928;263.
24. Kendall M.G., Stuart A. The Advanced Theory of Statistics. 2nd Edition, Vol. 2:1967;Charles Griffin & Company, London.
25. Lawley D.N. Biometrika. 43:1956;128.
26. Lawley D.N. Biometrika. 43:1956;295.
27. Gumbel E.J. Ann. Math. Statist. 14:1943;253.
28. Börner H.G., Jolie J. J. Phys. G. 19:1993;217.