2003/01/28 by S. Picoli Jr., S. Picoli, R. S. Mendes +1 · 89 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Applied mathematics #Distribution (mathematics) #Econometrics #Exponential distribution #Exponential function #Exponentiated Weibull distribution #Financial Risk and Volatility Modeling #Mathematical analysis #Mathematics #Natural exponential family #Statistical Distribution Estimation and Applications #Statistical Mechanics and Entropy #Statistics #Weibull distribution #Weibull modulus #cond-mat.stat-mech
paper · pdf · doi:10.1016/s0378-4371(03)00071-2
published in Physica A Statistical Mechanics and its Applications 324(3-4), 678-688 (Elsevier BV) · 6 pages, Latex. To appear in Physica A
arxiv created 2003/01/28 · openalex publication_date 2003/04/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.