The Beta Generalized Half-Normal Distribution : New Properties
Joint Authors
Demétrio, Clarice G. B.
Pescim, Rodrigo R.
Ortega, Edwin M. M.
Cordeiro, Gauss M.
Source
Journal of Probability and Statistics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-31
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We study some mathematical properties of the beta generalized half-normal distribution recently proposed by Pescim et al.
(2010).
This model is quite flexible for analyzing positive real data since it contains as special models the half-normal, exponentiated half-normal, and generalized half-normal distributions.
We provide a useful power series for the quantile function.
Some new explicit expressions are derived for the mean deviations, Bonferroni and Lorenz curves, reliability, and entropy.
We demonstrate that the density function of the beta generalized half-normal order statistics can be expressed as a mixture of generalized half-normal densities.
We obtain two closed-form expressions for their moments and other statistical measures.
The method of maximum likelihood is used to estimate the model parameters censored data.
The beta generalized half-normal model is modified to cope with long-term survivors may be present in the data.
The usefulness of this distribution is illustrated in the analysis of four real data sets.
American Psychological Association (APA)
Cordeiro, Gauss M.& Pescim, Rodrigo R.& Ortega, Edwin M. M.& Demétrio, Clarice G. B.. 2013. The Beta Generalized Half-Normal Distribution : New Properties. Journal of Probability and Statistics،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-475876
Modern Language Association (MLA)
Cordeiro, Gauss M.…[et al.]. The Beta Generalized Half-Normal Distribution : New Properties. Journal of Probability and Statistics No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-475876
American Medical Association (AMA)
Cordeiro, Gauss M.& Pescim, Rodrigo R.& Ortega, Edwin M. M.& Demétrio, Clarice G. B.. The Beta Generalized Half-Normal Distribution : New Properties. Journal of Probability and Statistics. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-475876
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475876