We study the extreme value distribution of stochastic processes modeled by superstatistics. Classical extreme value theory asserts that (under mild asymptotic independence assumptions) only three possible limit distributions are possible, namely: Gumbel, Fréchet and Weibull distribution. On the other hand, superstatistics contains three important universality classes, namely χ-superstatistics, ...

The Lorenz curve for assessing economic inequality depicts the relation between two cumulative distribution functions (CDFs), one for the distribution of incomes or wealth and the other for their first-moment distribution. By contrast, the receiver operating characteristic (ROC) curve for evaluating diagnostic systems depicts the relation between the complements of two CDFs, one for the distrib...

We present a minimum hypothesis model for an IMF that resembles a lognormal distribution at low masses but has a distinct power-law tail. Even if the central limit theorem ensures a lognormal distribution of condensation masses at birth, a power-law tail in the distribution arises due to accretion from the ambient cloud, coupled with a non-uniform (exponential) distribution of accretion times. ...

The present study utilizes nine years of measurements taken from a Joss–Waldvogel disdrometer (JWD). From this dataset, thirty six rainfall events, were selected and categorized, respectively, in convective and stratiform types, according to specific criteria. Six statistical distributions namely the oneand two-parameter exponential, the twoand three-parameter lognormal and finally the twoand t...

We examine various distributional models to determine which one better describes the process of an image undergoing uniform scaling. We demonstrate that, in the case of an indoors object recognition scenario, the scale transformation closely follows a lognormal distribution, which subsequently may be used as a prior in a Bayesian formulation, capturing the explicit knowledge about the scaling p...

Abstract: Two concepts of symmetry for the distributions of positive random variables Y are log-symmetry (symmetry of the distribution of log Y ) and R-symmetry ([7]). In this paper, we characterise the distributions that have both properties, which we call doubly symmetric. It turns out that doubly symmetric distributions constitute a subset of those distributions that are moment-equivalent to...

The distribution of magnetic eld magnitudes is derived for the special case of a constant mean eld and uncorrelated components having Gaussian distributions. Of the three cases considered{ isotropic, transverse, and axisymmetric, the latter most closely resembles a lognormal distribution, when the parallel variance is less than the perpendicular variance. Thus, a normally distributed, non-inter...

The suitability of 4 theoretical distributions (normal, lognormal, negative binomial, and gamma) to predict the observed distribution of ochratoxin A (OTA) in green coffee was investigated. One symmetrical and 3 positively skewed theoretical distributions were each fitted to 25 empirical distributions of OTA test results for green coffee beans. Parameters of each theoretical distribution were c...

Fallout mass-size distributions presently used at USNRDL are compared vith new distributions suggested by recent investigations. Available data is unable to define the distribution parameters well enough to distinguish between lognormal and power-law distribution models.,