二元Weibull分布密度函数及参数特征

The Density Function and Parameter Characteristics of Lee’s Bi-variant Weibull Distribution

对生存函数为F(x1,x2)=p(X1>x1,X2>x2)=exp-{[x_1/θ_1)^(1/αρ)+(x_2/θ_2)^(1/αρ)]}ρ,x1>0,x2>0,α>0,1≥ρ>0,θ1>0,θ2>0的二元威布尔分布,给出它的密度函数,讨论了边缘密度和参数的特征.

For a two variant Weibull distribution with survival function F^-（x1,x2）=p（X1〉x1,X2〉x2）=exp-{-[（x1/θ1）^1/αρ＋（x2/θ2）^1/αρ]^ρ},x1〉0,x2〉0,α〉0,1≥ρ〉0,θ1〉0,θ2〉0, the density function is given and the marginal function and parameters are discussed.