The Cornish-Fisher representation of a probability density function, as a differential operator involving its cumulants applied to a normal density function, has been generalized so as to relate two ...

Mixture models are important in theoretical and applied statistics. Mathematical statistics courses for undergraduate senior or first-year graduate students should expose students to some properties ...

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 ...