Large-Sample Inference for the Epsilon-Skew-t Distribution |
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Authors: | Héctor W Gómez Francisco J Torres |
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Institution: | Facultad de Ingeniería, Departamento de Matemática , Universidad de Atacama , Chile |
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Abstract: | The main object of this article is to discuss maximum likelihood inference for the epsilon-skew-t distribution. Special cases of this distribution include the epsilon-skew-Cauchy and the epsilon-skew-normal distributions. We derive the information matrix for the maximum likelihood estimators. The approach is applied to a data set presenting significant amount of skewness and heavy tails. In the application we consider the epsilon-skew-t distribution with known and unknown degrees of freedom parameter, showing great flexibility in adjusting to skew data with heavy tails. |
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Keywords: | Information matrix Kurtosis Maximum likelihood Skewness |
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