【摘要】 设{Yi;-∞<i<∞}是同分布的ρ*混合随机变量序列,{ai;-∞<i<∞}是绝对可加的实数序列,{Xnk;1≤k≤n,n≥1}是行内随机变量为ρ*混合的随机变量组列,令Cnk=EXnkI{|Xnk|≤n1/p}.在适当的条件下建立了∑nk=1∑∞i=-∞ai+kYi/nα;n≥1和∑nk=1(Xnk-Cnk)/n1/p;n≥1)的完全收敛性.更多还原

【Abstract】 Let {Y_i;-∞<i<∞} be a doubly infinite sequence of identically distributed and ρ^*-mixing random variables,{a_i;-∞<i<∞} an Absolutely summable sequence of real numbers,{X_nk;1≤k≤n,n≥1} an array of rowwise ρ^*-mixing random variables,C_nk=EX_nkI_{{|Xnk|≤n^1/p}}.The complete convergence are proved of ∑nk=1∑∞i=-∞a_i+kY_i/n^α;n≥1 and ∑nk=1(X_nk-C_nk)/n^1/p;n≥1) under some suitable conditions.更多还原