设{X_i,i≥1}是一严平稳零均值LPQD随机变量序列,0<EX_1~2<∞,σ~2=EX_1~2+sum from j=2 to ∞(E(X_1X_j)),并且0<σ~2<∞,令S_n=sum from i=1 to n(X_i),利用部分和S_n的弱收敛定理,证明了当ε→0时,sum from n≥1 to(n^(r...设{X_i,i≥1}是一严平稳零均值LPQD随机变量序列,0<EX_1~2<∞,σ~2=EX_1~2+sum from j=2 to ∞(E(X_1X_j)),并且0<σ~2<∞,令S_n=sum from i=1 to n(X_i),利用部分和S_n的弱收敛定理,证明了当ε→0时,sum from n≥1 to(n^(r/p-2))P〔│S_n│≥εn^(1/p)〕,sum from n≥1 to(1/n)P〔│S_n│≥εn^(1/p)〕,sum from n≥1 to((1n n)~δ/n)P〔│S_n│≥ε(n 1n n)～(1/2)〕的精确渐近性.展开更多
文摘设{X_i,i≥1}是一严平稳零均值LPQD随机变量序列,0<EX_1~2<∞,σ~2=EX_1~2+sum from j=2 to ∞(E(X_1X_j)),并且0<σ~2<∞,令S_n=sum from i=1 to n(X_i),利用部分和S_n的弱收敛定理,证明了当ε→0时,sum from n≥1 to(n^(r/p-2))P〔│S_n│≥εn^(1/p)〕,sum from n≥1 to(1/n)P〔│S_n│≥εn^(1/p)〕,sum from n≥1 to((1n n)~δ/n)P〔│S_n│≥ε(n 1n n)～(1/2)〕的精确渐近性.
