Weighted Kolmogorov-Smirnov test: Accounting for the tails
AbstractAccurate goodness-of-fit tests for the extreme tails of empirical distributions is a very important issue, relevant in many contexts, including geophysics, insurance, and finance. We have derived exact asymptotic results for a generalization of the large-sample Kolmogorov-Smirnov test, well suited to testing these extreme tails. In passing, we have rederived and made more precise the approximate limit solutions found originally in unrelated fields, first in [L. Turban, J. Phys. A 25, 127 (1992)] and later in [P. L. Krapivsky and S. Redner, Am. J. Phys. 64, 546 (1996)].
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1207.7308.
Date of creation: Jul 2012
Date of revision: Oct 2012
Publication status: Published in Phys. Rev. E 86 (4):1115 (2012)
Contact details of provider:
Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Brzezinski, Michal, 2014.
"Do wealth distributions follow power laws? Evidence from ‘rich lists’,"
Physica A: Statistical Mechanics and its Applications, Elsevier,
Elsevier, vol. 406(C), pages 155-162.
- Michal Brzezinski, 2013. "Do wealth distributions follow power laws? Evidence from "rich lists"," Papers 1304.0212, arXiv.org.
- R\'emy Chicheportiche & Jean-Philippe Bouchaud, 2013. "Some applications of first-passage ideas to finance," Papers 1306.3110, arXiv.org.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators).
If references are entirely missing, you can add them using this form.