Estimators for the exponent and upper limit, and goodness-of-fit tests for (truncated) power-law distributions

Monthly Notices of the Royal Astronomical Society

Volumn 395, Issue 2, 2009, Pages 931-942

  Maschberger, Thomas ^a,b   Kroupa, Pavel ^a  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Galaxies: star clusters; Methods: data analysis; Methods: statistical; Stars: luminosity function, mass function

Indexed keywords

GALAXIES; GRAPHIC METHODS; STARS;

GALAXIES: STAR CLUSTERS; GOODNESS OF FIT; MASS FUNCTIONS; METHODS. DATA ANALYSIS; METHODS:STATISTICAL; POWER LAW DISTRIBUTION; STAR CLUSTERS; STAR: LUMINOSITY FUNCTION, MASS FUNCTION; STARS: LUMINOSITY FUNCTION; UPPER LIMITS;

DISTRIBUTION FUNCTIONS;

EID: 65349090692     PISSN: 00358711     EISSN: 13652966     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2009.14577.x     Document Type: Article

References (33)

1. Aban I. B., Meerschaert M. M., Panorska A. K., 2006, J. Am. Stat. Assoc., 101, 270
2. Anderson T. W., Darling D. A., 1952, Ann. Math. Stat., 23, 193
3. Bartholomew D. J., 1957, Biometrika, 44, 253
4. Baxter M. A., 1980, Metrika, 27, 133
5. Beg M. A., 1982, Metrika, 29, 103
6. Beg M. A., 1983, Am. J. Math. Manage. Sci., 3, 251
7. Beirlant J., de Wet T., Goegebeur Y., 2006, J. Comput. Appl. Math., 186, 99
8. Brain C. W., Shapiro S. S., 1983, Technometrics, 25, 69
9. Chambers J., Cleveland W., Kleiner B., Tukey P., 1983, Graphical Methods for Data Analysis. Wadsworth, Belmont
10. Chlebowski T., Garmany C. D., 1991, ApJ, 368, 241
11. Crawford D. F., Jauncey D. L., Murdoch H. S., 1970, ApJ, 162, 405
12. D'Agostino R. B., Stephens M. A., eds, 1986, Goodness-of-Fit Techniques. Marcel Dekker, New York
13. de Grijs R., Anders P., 2006, MNRAS, 366, 295
14. Gan F. F., Koehler K. J., 1990, Technometrics, 32, 289
15. Gieles M., Larsen S. S., Scheepmaker R. A., Bastian N., Haas M. R., Lamers H. J. G. L. M., 2006, A&A, 446, L9
16. Hannon P. M., Dahiya R. C., 1999, Commun. Stat. Theory Methods, 28, 2591
17. Hunter D. A., Elmegreen B. G., Dupuy T. J., Mortonson M., 2003, AJ, 126, 1836
18. Jackson O. A. Y., 1967, J. R. Stat. Soc. B, 29, 540
19. Jauncey D. L., 1967, Nat, 216, 877
20. Kimber A. C., 1985, Biometrika, 72, 661
21. Koen C., 2006, MNRAS, 365, 590
22. Lilliefors H. W., 1967, J. Am. Stat. Assoc., 62, 399
23. Lilliefors H. W., 1969, J. Am. Stat. Assoc., 64, 387
24. Maíz Apellániz J., Úbeda L., 2005, ApJ, 629, 873
25. Massey P., Hunter D. A., 1998, ApJ, 493, 180
26. Michael J. R., 1983, Biometrika, 70, 11
27. Oey M. S., Clarke C. J., 2005, ApJ, 620, L43
28. Parmentier G., de Grijs R., 2008, MNRAS, 383, 1103
29. Shapiro S. S., Wilk M. B., 1972, Technometrics, 14, 355
30. Stephens M. A., 1978, Technical Report 262, Goodness of Fit Tests with Special Reference to Tests for Exponentiality. Stanford Univ., CA
31. Vacca W. D., Garmany C. D., Shull J. M., 1996, ApJ, 460, 914
32. Weidner C., Kroupa P., 2004, MNRAS, 348, 187
33. Wilk M. B., Gnanadesikan R., 1968, Biometrika, 55, 1