Brazilian Journal of Probability and Statistics
- Braz. J. Probab. Stat.
- Volume 27, Number 2 (2013), 185-200.
The beta generalized logistic distribution
For the first time, a four-parameter beta generalized logistic distribution is obtained by compounding the beta and generalized logistic distributions. The new model extends some well-known distributions and its shape is quite flexible, specially the skewness and the tail weights, due to the extra shape parameters. We obtain general expansions for the moment generating and quantile functions. The estimation of the parameters is investigated by maximum likelihood. An application to a real data set is given to show the flexibility and potentiality of our distribution.
Braz. J. Probab. Stat., Volume 27, Number 2 (2013), 185-200.
First available in Project Euclid: 21 February 2013
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Morais, Alice L.; Cordeiro, Gauss M.; Cysneiros, Audrey H. M. A. The beta generalized logistic distribution. Braz. J. Probab. Stat. 27 (2013), no. 2, 185--200. doi:10.1214/11-BJPS166. https://projecteuclid.org/euclid.bjps/1361455034