Journal ArticleDOI
Some generalized beta distributions of the second kind having desirable application features in hydrology and meteorology
Paul W. Mielke,Earl S. Johnson +1 more
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Two distinct versions of the generalized beta distribution of the second kind are considered in this article, and they compare favorably with the commonly used gamma and log normal distributions in their ability to fit selected sets of accumulated streamflow and precipitation amount data.Abstract:
Two distinct versions of the generalized beta distribution of the second kind are considered. These beta-type distributions compare favorably with the commonly used gamma and log normal distributions in their ability to fit selected sets of accumulated streamflow and precipitation amount data. The comparisons are based on empirical results associated with three different goodness of fit criteria. Since the cumulative distribution functions of these beta-type distributions are in closed form, they possess unique computational advantages over the gamma and log normal distributions.read more
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Statistical Size Distributions in Economics and Actuarial Sciences
Christian Kleiber,Samuel Kotz +1 more
TL;DR: The Statistical Size Distribution in Economics and Actuarial Sciences (SDFIS) as discussed by the authors is a collection of parametric models that deal with income, wealth, and related notions.
Journal ArticleDOI
Shapes and functions of species–area curves: a review of possible models
TL;DR: This paper reviews possible candidate models that may be used in theoretical modelling and empirical studies of species–area relationships (SARs) and suggests two main types of species-area curves: sample curves that are inherently convex and isolate curves, which are sigmoid.
Journal ArticleDOI
A Look at the Burr and Related Distributioni
TL;DR: The relationship between the Burr distribution and the various other distributions, namely, the Lomax, the Compound Weibull, the Weibell-Exponential, the logistic, log logistic and the Kappa family of distributions is summarized in this paper.
Journal ArticleDOI
Changes in Extreme Rainfall Events in South Africa
Simon J. Mason,Peter R. Waylen,Gillian M. Mimmack,Balakanapathy Rajaratnam,J. Michael Harrison +4 more
TL;DR: In this article, the authors used rainfall data from stations in South Africa that have not involved site relocations, but which have not been tested for inhomogeneities resulting from changes in instrumentation, a method of testing for changes in the intensity of extreme events is adopted.
Journal ArticleDOI
How extreme is extreme? An assessment of daily rainfall distribution tails.
TL;DR: In this paper, the authors investigated the distribution tails for daily rainfall by comparing the upper part of empirical distributions of thousands of records with four common the- oretical tails: those of the Pareto, Lognormal, Weibull and Gamma distributions.
References
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Journal ArticleDOI
Another Family of Distributions for Describing and Analyzing Precipitation Data
TL;DR: A positively skewed two-parameterer family of distributions is introduced in this article as an alternative description of precipitation amounts, each distribution of this family is associated with a simple two-sample non-parametric test which, for large samples, is optimum in detecting scale changes induced by cloud seeding.
Journal ArticleDOI
Use of the gamma distribution in single-cloud rainfall analysis
TL;DR: In this article, the authors used the principle of maximum entropy to define tractable distributions for natural and modified rainfall populations, which is an important prerequisite for the evaluation of seeding effects by Bayesian statistics.