【摘要】 设{Xn;n≥1}是一列同分布的NA序列,μ=EX1>0,σ2=VarX1<∞.在适当的条件下证明了∏nk=1Skn!μn1γσndeN,n→∞,其中Sk=∑ki=1Xi,γ=σ/μ,σ2n=Varγ1∑k=n1kSμk-1,N是标准正态随机变量.更多还原

【Abstract】 Let {X_n;n≥1} be a sequence of negatively associated identically distributed random variables,μ=EX₁>0,σ²=VarX₁<∞.Under suitable conditions it is proved thatnk=1S_kn!μⁿ 1γσ_n de^N,n→∞,where S_k=ki=1X_i,γ=σ/μ,σ²_n=Var1γnk=1S_kkμ-1 and N is a standard normal random variable.更多还原