Artículos de revistas
The new class of Kummer beta generalized distributions
Fecha
2013-08-02Registro en:
SORT-STATISTICS AND OPERATIONS RESEARCH TRANSACTIONS, BARCELONA, v. 36, n. 2, supl., Part 3, pp. 153-180, JUL-DEC, 2012
1696-2281
Autor
Pescim, Rodrigo Rossetto
Cordeiro, Gauss Moutinho
Demetrio, Clarice Garcia Borges
Ortega, E. M. M.
Nadarajah, S.
Institución
Resumen
Ng and Kotz (1995) introduced a distribution that provides greater flexibility to extremes. We define and study a new class of distributions called the Kummer beta generalized family to extend the normal, Weibull, gamma and Gumbel distributions, among several other well-known distributions. Some special models are discussed. The ordinary moments of any distribution in the new family can be expressed as linear functions of probability weighted moments of the baseline distribution. We examine the asymptotic distributions of the extreme values. We derive the density function of the order statistics, mean absolute deviations and entropies. We use maximum likelihood estimation to fit the distributions in the new class and illustrate its potentiality with an application to a real data set.