φ混合序列加权和的收敛性与大数定律

Convergence and Law of Large Numbers for Weighted Sums of φ- mixing Random Sequenc

在较弱的{X j,j≥1}关于{|anj|}一致可积的条件下讨论了φ混合序列加权和的收敛性,并给出了φ混合序列加权和的强大数定律。

In this paper,under the weaker condition of { ｜ anj｜} -uniform integrability,the convergence for weighted sums of φ- mixing random sequence is discussed and the strong law of large numbers is obtained for weighted sums of φ - mixing random sequence.