A Mixture of Generalized Tukey’s g Distributions
Joint Authors
Jiménez, José Alfredo
Arunachalam, Viswanathan
Source
Journal of Probability and Statistics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-15
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Mixtures of symmetric distributions, in particular normal mixtures as a tool in statistical modeling, have been widely studied.
In recent years, mixtures of asymmetric distributions have emerged as a top contender for analyzing statistical data.
Tukey’s g family of generalized distributions depend on the parameters, namely, g , which controls the skewness.
This paper presents the probability density function (pdf) associated with a mixture of Tukey’s g family of generalized distributions.
The mixture of this class of skewed distributions is a generalization of Tukey’s g family of distributions.
In this paper, we calculate a closed form expression for the density and distribution of the mixture of two Tukey’s g families of generalized distributions, which allows us to easily compute probabilities, moments, and related measures.
This class of distributions contains the mixture of Log-symmetric distributions as a special case.
American Psychological Association (APA)
Jiménez, José Alfredo& Arunachalam, Viswanathan. 2016. A Mixture of Generalized Tukey’s g Distributions. Journal of Probability and Statistics،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1110257
Modern Language Association (MLA)
Jiménez, José Alfredo& Arunachalam, Viswanathan. A Mixture of Generalized Tukey’s g Distributions. Journal of Probability and Statistics No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1110257
American Medical Association (AMA)
Jiménez, José Alfredo& Arunachalam, Viswanathan. A Mixture of Generalized Tukey’s g Distributions. Journal of Probability and Statistics. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1110257
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1110257