Limiting behavior of weighted sums of identically distributed - mixing random variables 混合随机变量序列加权和的极限性质
In this paper we give some new results of - mixing random variables linear form . it extend relevant theorems of independent random variables 摘要给出了一些-混合随机变量线性形式的新结果,它推广了独立随机变量的相应定理。
At first , we prove the complete convergence of triangular arrays . then , we give the complete convergence of associated random variables . at last , the almost sure convergence and complete convergence of - mixing random variables " order statistics are given 样本及m -相依样本三角组列的完全收敛性;接着研究相伴随机变量序列的完全收敛性;最后,还给出了混合随机变量次序统计量的强相合性及完全收敛性。
混合: mix; blend; mingle; admix; m ...随机: random stochastic; random变量: variable; variable quantity; ...复合随机变量: compound random variable联合随机变数: joint random variable组合随机变数: combined random variable非随机变量: nonrandom variable; nonstochastic variable复随机变量: complex random variable随机变量: chance variable; extraneous variable; facultative variant; ramdom variable; random variables; randomvariable; stochastic variables; variate伪随机变量: pseudo-random variable纯量随机变量: scalar random variable独立随机变量: independent random variable多维随机变量: multiple random variables多元随机变量: multiple random variable尔朗随机变量: erlang random variable二随机变量和: sum of two random variables非负随机变量: nonnegative random variable高斯随机变量: gaussian random variable均匀随机变量: homogeneous random variable; uniform random variable离散随机变量: discrete random variable; random variable连续随机变量: continuous random variables; continuous variable; continuous variate; random variable模糊随机变量: fuzzy random variable平稳随机变量: stationary random variable矢量随机变量: vector random variable随机变量函数: function of random variable