A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
The exponentiated Gumbel distribution with climate application
10.1002/env.739.abs
The Gumbel distribution is perhaps the most widely applied statistical distribution for climate modeling. In this article we introduce a distribution that generalizes the standard Gumbel distribution in the same way the exponentiated exponential distribution generalizes the standard exponential distribution. We refer to this new distribution as the exponentiated Gumbel distribution. We provide a comprehensive treatment of the mathematical properties of this new distribution and illustrate its use for modeling rainfall data from Orlando, Florida. Among the mathematical properties, we derive the analytical shapes of the corresponding probability density function and the hazard rate function, calculate expressions for the nth moment and the asymptotic distribution of the extreme order statistics, and investigate the variation of the skewness and kurtosis measures. We also discuss estimation by the method of maximum likelihood. Copyright © 2005 John Wiley & Sons, Ltd.
The exponentiated Gumbel distribution with climate application
10.1002/env.739.abs
The Gumbel distribution is perhaps the most widely applied statistical distribution for climate modeling. In this article we introduce a distribution that generalizes the standard Gumbel distribution in the same way the exponentiated exponential distribution generalizes the standard exponential distribution. We refer to this new distribution as the exponentiated Gumbel distribution. We provide a comprehensive treatment of the mathematical properties of this new distribution and illustrate its use for modeling rainfall data from Orlando, Florida. Among the mathematical properties, we derive the analytical shapes of the corresponding probability density function and the hazard rate function, calculate expressions for the nth moment and the asymptotic distribution of the extreme order statistics, and investigate the variation of the skewness and kurtosis measures. We also discuss estimation by the method of maximum likelihood. Copyright © 2005 John Wiley & Sons, Ltd.
The exponentiated Gumbel distribution with climate application
Nadarajah, Saralees (author)
Environmetrics ; 17 ; 13-23
2006-02-01
11 pages
Article (Journal)
Electronic Resource
English
The exponentiated Gumbel distribution with climate application
| Online Contents | 2006
Homogeneity Tests Based Upon Gumbel Distribution
| British Library Conference Proceedings | 1994
Resubmitted Sampling Inspection Plan for Exponentiated Weibull Distribution
| British Library Online Contents | 2015
Some Alternative Bivariate Gumbel Models
| Online Contents | 1998