【摘要】 考虑生存函数为（?）（x₁,x₂,…,x_n）=P{X₁＞x₁,…,X_n＞x_n}=exp（?） （0＜x_i＜∞,0＜δ≤1,0＜θ₁＜∞,i=（?））的一类多维指数分布,给出了它的密度函数的表示式,并讨论了它的性质．提出了相关参数δ的估计（?）,证明了（?）有相合性和渐近正态性,得到了（?）的渐近方差δ_δ²．最后还给出了若干随机模拟的结果．更多还原

【Abstract】 In this paper,the authors consider a class of multivariate exponential distri- butions with survival function （?）（x₁,x₂,…,x_n）=P{X₁>x₁,…,X_n>x_n}=exp{-[（sum form i=1 to n）（x_i/θ_i）^?]^δ}, where 0<x_i<∞,0<δ≤1,0<θ_i<∞,i=1,n.The density function is given and its properties are discussed.The estimator（?）of the parameterδis proposed,its consistence and asymptotic normality are established,and the asymptotic varianceσ_δ² is derived.Some simulation results are provided.更多还原