An L1-Convergence Theorem for Heterogeneous Mixingale Arrays with Trending Moments (Now published in Statistics & Probability Letters 16 (1993), pp.301-304.)
Published 1992
This paper gives a generalization of an L1-convergence theorem for dependent processes due to Andrews (1988). Among the cases covered by this result are weak laws of large numbers of random sequences {X1} having moments tending to either infinity or zero as t ? ?.