摘要
本文讨论一般随机向量的密度的L^p可积性,并给出了一随机向量的密度为L^p可积的一个充分必要条件和几个充分条件.此外,还把这些结果应用于占有密度,给出了一实可测函数的占有密度为L^p可积的一个简单的充分条件.
In this paper,we consider L^p integrability for densities of general random vectors. We obtained a sufficient and necessary condition and several sufficient conditions for which a random vector has L^p inlegrable density. Furthermore, we applied these results to occupation density, and obtained a sufficient condition for which a real measuvable function has L^p integrable occupation density.
出处
《晓庄学院自然科学学报》
CAS
1992年第2期110-115,共6页
Journal of Natural Science of Hunan Normal University
关键词
密度
Lp可积性
随机向量
density
occupation density
L^p integrability
random vector
