publication . Article . Other literature type . 1994

Generalized weibull family: a structural analysis

Govind S. Mudholkar; Georgia D. Kollia;
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  • Published: 01 Jan 1994 Journal: Communications in Statistics - Theory and Methods, volume 23, pages 1,149-1,171 (issn: 0361-0926, eissn: 1532-415X, Copyright policy)
  • Publisher: Informa UK Limited
Abstract
A two shape parameter generalization of the well known family of the Weibull distributions is presented and its properties are studied. The properties examined include the skewness and kurtosis, density shapes and tail character, and relation of the members of the family to those of the Pear-sonian system. The members of the family are grouped in four classes in terms of these properties. Also studied are the extreme value distributions and the limiting distributions of the extreme spacings for the members of the family. It is seen that the generalized Weibull family contains distributions with a variety of density and tail shapes, and distributions which in ter...
Subjects
free text keywords: Parametric family, Statistical physics, Kurtosis, Statistical parameter, Extreme value theory, Exponentiated Weibull distribution, Generalized extreme value distribution, Shape parameter, Mathematics, Statistics, Natural exponential family
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