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An Extension of the Skew-Normal Distribution |
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PP: 155-163 |
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doi:10.18576/jsap/080301
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Author(s) |
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Haroon M. Barakat,
Abdallah W. Aboutahoun,
aeema N. EL-kadar,
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Abstract |
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| The stable symmetric family of distribution functions (DF’s) suggested by [1] is a family that contains the reverse of every DF belonging to it. It is revealed that the stable families are capable of describing many types of statistical data. We introduce a new stable family via a mixture of the skew-normal distribution and its reverse, after inserting a scale parameter and its reciprocal to the skew-normal distribution and its reverse, respectively. We show that this family contains all the possible types of DFs. Besides, it has a very remarkable wide range of the indices of skewness and kurtosis. Computational technique using EM algorithm is implemented for estimating the model parameters. Moreover, an application with a real data set is presented. |
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