q-exponential, Weibull, and q-Weibull distributions: an empirical analysis

S. Picoli, R.S. Mendes and L.C. Malacarne

Physica A: Statistical Mechanics and its Applications, 2003, vol. 324, issue 3, 678-688

Abstract: In a comparative study, the q-exponential and Weibull distributions are employed to investigate frequency distributions of basketball baskets, cyclone victims, brand-name drugs by retail sales, and highway length. In order to analyze the intermediate cases, a distribution, the q-Weibull one, which interpolates the q-exponential and Weibull ones, is introduced. It is verified that the basketball baskets distribution is well described by a q-exponential, whereas the cyclone victims and brand-name drugs by retail sales ones are better adjusted by a Weibull distribution. On the other hand, for highway length the q-exponential and Weibull distributions do not give satisfactory adjustment, being necessary to employ the q-Weibull distribution. Furthermore, the introduction of this interpolating distribution gives an illumination from the point of view of the stretched exponential against inverse power law (q-exponential with q>1) controversy.

Keywords: Zipf–Mandelbrot; Weibull; q-Weibull; Tsallis statistics (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:324:y:2003:i:3:p:678-688

DOI: 10.1016/S0378-4371(03)00071-2

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