王向忱.随机变数配重和的两个收敛定理[J].数学研究及应用,1984,4(1):83~86
随机变数配重和的两个收敛定理
Two Convergence Theorems of Weighted Sums of Random Variables
投稿时间:1982-12-15  
DOI:10.3770/j.issn:1000-341X.1984.01.021
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王向忱 吉林大学 
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英文摘要:
      In the note we present two theorems on convergence of weighted sums of random variables. The relative extensions to random elements in a separable normed linear space are also discussed.Theorem 1 and Corollary 1 are extensions of the theorems of Chow and Lai, Padgett and Taylor, Bozognia and Bhaskara Rao, and Wei and Taylor. Theorem 2 is an extension of another result of Chow and Lai.
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