Recent advances in estimation techniques have underscored the growing importance of shrinkage estimation and balanced loss functions in the analysis of multivariate normal distributions. These ...

In this paper the multivariate skew normal distribution, introduced by Azzalini and Dalla Valle (1996), is used as a basis in density expansions. A short summary of main properties of the distribution ...

Multivariate normality testing plays a critical role in modern statistical analysis by evaluating whether a multivariate dataset conforms to the assumptions of a normal distribution. Such assessments ...

1. Aspects of multivariate analysis -- 2. Matrix algebra and random vectors -- 3. Sample geometry and random sampling -- 4. The multivariate normal distribution -- 5. Inferences about a mean vector -- ...