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Extreme Value Distributions: Theory and Applications
- Publisher
- Springer Journals
- Copyright
- Copyright © 2006 by Springer Science + Business Media B.V.
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-006-9055-0
- Publisher site
- See Article on Publisher Site
Abstract
Gupta et al. [Commun. Stat., Theory Methods 27, 887–904, 1998] introduced the exponentiated exponential distribution as a generalization of the standard exponential distribution. In this paper, we introduce four more exponentiated type distributions that generalize the standard gamma, standard Weibull, standard Gumbel and the standard Fréchet distributions in the same way the exponentiated exponential distribution generalizes the standard exponential distribution. A treatment of the mathematical properties is provided for each distribution.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Sep 8, 2006