| 胡南桦.关于随机序的一个注记(英文)[J].数学研究及应用,1993,13(1):52~54 |
| 关于随机序的一个注记(英文) |
| A Note on Stochastic Ordering (≤d) |
| 投稿时间：1990-10-26 |
| DOI：10.3770/j.issn:1000-341X.1993.01.012 |
| 中文关键词: |
| 英文关键词: |
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| 中文摘要: |
| 本文引入随机序(≤d)的概念,说明在讨论随机变量列的依概率(依分布)收敛问题时,它是一个颇为恰当的“控制尺度”. |
| 英文摘要: |
| In discussing the convergence in probability (in distribution) of a sequence of random variables, it is often used that if for any n,P{Xn≤Yn ≤Zn} = 1 and (?). It is shown now that the stochastic ordering condition Xn- Y≤dYn- Y≤dXn- Y(Xn≤dYnY≤dZn) is a more general dominating condition than P{Xn≤Yn≤Zn}=1 in ensuring the convergence in probability (in distribution) of {Yn}. |
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