论文标题
统一偏差正常分布的某些特性
Some properties of the unified skew-normal distribution
论文作者
论文摘要
对于多变量概率分布的家族而言，以各种表示为统一的偏斜正常，闭合偏斜正常和其他名称，已经知道了许多属性，但许多其他属性也不是一些基本的属性。目前的贡献旨在填补一些缺失的空白。具体而言，获得了到第四阶的矩，从这里，从这里获得了狂欢节多变量偏度和峰度的表达。其他结果涉及分布的对数coveity的属性，并关闭间隔条件。
For the family of multivariate probability distributions variously denoted as unified skew-normal, closed skew-normal and other names, a number of properties are already known, but many others are not, even some basic ones. The present contribution aims at filling some of the missing gaps. Specifically, the moments up to the fourth order are obtained, and from here the expressions of the Mardia's measures of multivariate skewness and kurtosis. Other results concern the property of log-concavity of the distribution, and closure with respect to conditioning on intervals.
