Record Details

The McDonald Normal Distribution

Pakistan Journal of Statistics and Operation Research

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Field Value
 
Title The McDonald Normal Distribution
 
Creator Cordeiro, Gauss M.; Departamento de Estat´ıstica
Universidade Federal, de Pernambuco
Cintra, Renato J.; Departamento de Estat´ıstica
Universidade Federal, de Pernambuco
Rêgo, Leandro C.; Departamento de Estat´ıstica
Universidade Federal, de Pernambuco
Ortega, Edwin M. M.; Departamento de CiˆenciasExatas
Universidade de S˜ao Paulo
 
Subject Statistics
McDonald normal distribution; Maximum likelihood estimation; Mean deviation; Moment generating function

 
Description A five-parameter distribution called the McDonald normal distribution is defined and studied. The new distribution contains, as special cases, several important distributions discussed in the literature, such as the normal, skew-normal, exponentiated normal, beta normal and Kumaraswamy normal distributions, among others. We obtain its ordinary moments, moment generating function and mean deviations. We also derive the ordinary moments of the order statistics. We use the method of maximum likelihood to fit the new distribution and illustrate its potentiality with three applications to real data.
 
Publisher College of Statistical and Actuarial Sciences
 
Contributor
 
Date 2012-07-01
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://www.pjsor.com/index.php/pjsor/article/view/510
10.18187/pjsor.v8i3.510
 
Source Pakistan Journal of Statistics and Operation Research; Vol 8. No. 3, 2012; 301-329
2220-5810
1816-2711
 
Language eng
 
Relation http://www.pjsor.com/index.php/pjsor/article/view/510/276