纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2013年
2期
172-178
,共7页
随机适应序列%局部极限定理%鞅
隨機適應序列%跼部極限定理%鞅
수궤괄응서렬%국부겁한정리%앙
stochastic adapted sequence%local convergence theorem%martingale
研究了一类随机适应序列的强极限定理,推广了最近发表的几个结果,并进一步推广了Borel-Cantelli引理.
研究瞭一類隨機適應序列的彊極限定理,推廣瞭最近髮錶的幾箇結果,併進一步推廣瞭Borel-Cantelli引理.
연구료일류수궤괄응서렬적강겁한정리,추엄료최근발표적궤개결과,병진일보추엄료Borel-Cantelli인리.
In this paper we establish a new limit theorem for partial sums of arbitrary stochastic adapted sequences which extend some new published results.As corollaries,we generalize the Borel-Cantelli lemma.