ALPHA-SKEW-NORMAL DISTRIBUTION
The main object of this paper is to introduce an alternative form of generate asymmetry in the normal distribution that allows to fit unimodal and bimodal data sets. Basic properties of this new distribution, such as stochastic representation, moments, maximum likelihood and the singularity of the Fisher information matrix are studied. The methodology developed is illustrated with a real application.
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| Main Author: | |
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| Format: | Digital revista |
| Language: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2010
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300006 |
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| Summary: | The main object of this paper is to introduce an alternative form of generate asymmetry in the normal distribution that allows to fit unimodal and bimodal data sets. Basic properties of this new distribution, such as stochastic representation, moments, maximum likelihood and the singularity of the Fisher information matrix are studied. The methodology developed is illustrated with a real application. |
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