The Exponentiated Half-Logistic Family of Distributions: Properties and Applications
Joint Authors
Cordeiro, Gauss M.
Alizadeh, Morad
Ortega, Edwin M. M.
Source
Journal of Probability and Statistics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-13
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We study some mathematical properties of a new generator of continuous distributions with two extra parameters called the exponentiated half-logistic family.
We present some special models.
We investigate the shapes of the density and hazard rate function.
We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Bonferroni and Lorenz curves, Shannon and Rényi entropies, and order statistics, which hold for any baseline model.
We introduce two bivariate extensions of this family.
We discuss the estimation of the model parameters by maximum likelihood and demonstrate the potentiality of the new family by means of two real data sets.
American Psychological Association (APA)
Cordeiro, Gauss M.& Alizadeh, Morad& Ortega, Edwin M. M.. 2014. The Exponentiated Half-Logistic Family of Distributions: Properties and Applications. Journal of Probability and Statistics،Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-1042856
Modern Language Association (MLA)
Cordeiro, Gauss M.…[et al.]. The Exponentiated Half-Logistic Family of Distributions: Properties and Applications. Journal of Probability and Statistics No. 2014 (2014), pp.1-21.
https://search.emarefa.net/detail/BIM-1042856
American Medical Association (AMA)
Cordeiro, Gauss M.& Alizadeh, Morad& Ortega, Edwin M. M.. The Exponentiated Half-Logistic Family of Distributions: Properties and Applications. Journal of Probability and Statistics. 2014. Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-1042856
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1042856