Abstract
Power-law distributions contain precious information about a large variety of physical processes [10]. Although there are sound theoretical grounds for these distributions, the empirical evidence giving support to power laws has been traditionally weak.
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References
I.B. Aban, M.M. Meerschaert, A.K. Panorska, Parameter estimation for the truncated pareto distribution. J. Am. Stat. Assoc. 101, 270–277 (2006)
J.M. Bland, D.G. Altman, Multiple significance tests: the Bonferroni method. Br. Med. J. 310, 170–170 (1995)
R. Chicheportiche, J.P. Bouchaud, Weighted Kolmogorov–Smirnov test: accounting for the tails. Phys. Rev. E 86, 041115 (2012)
A. Corral, Point-occurrence self-similarity in crackling-noise systems and in other complex systems. J. Stat. Mech. P01022 (2009)
A. Corral, A. Deluca, R. Ferrer i Cancho, A practical recipe to fit discrete power-law distributions (2012). ArXiv 1209:1270
A. Corral, F. Font, J. Camacho, Non-characteristic half-lives in radioactive decay. Phys. Rev. E 83, 066103 (2011)
A. Deluca, Á. Corral, Fitting and goodness-of-fit test of non-truncated and truncated power-law distributions. Acta Geophys. 61(6), 1351–1394 (2013)
A. Deluca, P. Puig, A. Corral, Testing universality of critical exponents: the case of rainfall. (2013, in preparation)
B. Efron, R.J. Tibshirani, An Introduction to the Bootstrap, 1st edn. (Chapman & Hall/CRC, New York, 1993)
B.D. Malamud, Tails of natural hazards. Phys. World 17(8), 31 (2004)
O. Peters, A. Deluca, A. Corral, J.D. Neelin, C.E. Holloway, Universality of rain event size distributions. J. Stat. Mech. P11030 (2010)
W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes in FORTRAN, 2nd edn. (Cambridge University Press, Cambridge, 1992)
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Deluca, A., Puig, P., Corral, Á. (2014). Testing Universality and Goodness-of-Fit Test of Power-Law Distributions. In: Corral, Á., Deluca, A., Font-Clos, F., Guerrero, P., Korobeinikov, A., Massucci, F. (eds) Extended Abstracts Spring 2013. Trends in Mathematics(), vol 2. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-08138-0_3
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DOI: https://doi.org/10.1007/978-3-319-08138-0_3
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