【摘要】 一个随机向量Ｘ＝（Ｘ１，Ｘ２，…，Ｘｍ）称为负超可加相依（ＮＳＤ），如果对每个超可加函数，Ｅ（Ｘ１Ｘ２....，Ｘｍ）≤Ｅ（Ｙ１，Ｙ２，…，Ｘｍ）其中Ｙ１，Ｙ２，...，Ｙｍ相互独立且对任意ｉ，Ｙｉ＝Ｘｉ本文研究了ＮＳＤ的基本性质，给出了ＮＳＤ判定的三个结构性定理，并且这些定理可用来证明许多著名的多元分布具有ＮＳＤ性质．本文还给出了ＮＳＤ的许多概率不等式．更多还原

【Abstract】 A random vector X = (X1, X2,... , Xm) is said to be negatively superadditive dependent (NSD) if for every superadditive function , E(X1, X2,..., Xm)≤5 E(Y1, Y2,..,Ym) where Y1, Y2,..., Ym are independent with Yi=Xi for each i. Some basic properties and three structural theorems of NSD are derived and applied to show that a number of well-known multivariate distributions possess the NSD property. Applications are also presented.更多还原