关于多指标变量大数律尾概率级数的完全收敛性

Complete Convergence for Partial Sums of Random Uariables with Multidimensioned Indices

本文对ｉｄ多指标随机变量序列｛Ｘｋ；ｋ∈Ｎｄ｝（ｄ≥２）的部分和Ｓｎ＝∑ｋ≤ｎＸｋ及Ｈ（ｔ）↑＋∞，（ｔ→＋∞），提出并讨论了Порохоров的３个问题（ｄ≥２），并讨论了多指标随机变量和的完全收敛性．

The three problems recently proposed by Пpoxopob were completely solved by Su Chun 5 and Shao Qiman 6 ( d=1 ). In this paper, the Пpoxopobs three questions for multivariate random variables( d≥1 ) are further proposed and discussed. The results obtained include most of the well known ones and some new ones.