Sampling distributions of skew normal populations associated with closed skew normal distributions
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.
noncentral closed skew chi-square distribution
scientific article; zbMATH DE number 7077621