Sampling distributions of skew normal populations associated with closed skew normal distributions (Q2003522)
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scientific article; zbMATH DE number 7077621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sampling distributions of skew normal populations associated with closed skew normal distributions |
scientific article; zbMATH DE number 7077621 |
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Sampling distributions of skew normal populations associated with closed skew normal distributions (English)
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9 July 2019
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The skew normal distribution is the most widely used model for analyzing unimodal data with skewness. The main result of this paper is the generalization of the classic chi-square distribution and the skew chi-square distribution making it possible to cover the random samples from skew normal populations. These theoretical results are applied for the one-way balanced effect model with skew normal random effects and the regression model with skew normal errors.
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sampling distribution
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skew normal distribution
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closed skew normal distribution
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noncentral closed skew chi-square distribution
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quadratic form
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regression model
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