| A Strong Approximation Theorem for Quasi-associated Sequences |
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| 作者姓名： | Wen Sheng WANG |
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| 作者单位： | [1]Department of Statistics, East China Normal University, Shanghai 200062, P. R. China [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China |
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| 基金项目： | Research supported by NSFC （10401037） and China Postdoctoral Science Foundation |
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| 摘 要： | By combining the Csorgo-Révész quantile transform methods and the Skorohod-Strassen martingale embedding theorem, we prove a strong approximation theorem for quasi-associated random variables with mean zero and finite （2 ＋ δ）th moment under polynomial decay rate. As a consequence, the decay rate for a strong approximation theorem of associated sequences of Yu （1996） is weakened.
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| 关 键 词： | 强逼近 分位数转换 关联序列 局部和 |
| 收稿时间： | 2003-03-10 |
| 修稿时间： | 2003-03-102003-10-08 |
A Strong Approximation Theorem for Quasi-associated Sequences |
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| Wen Sheng WANG.A Strong Approximation Theorem for Quasi-associated Sequences[J].Acta Mathematica Sinica,2005,21(6):1269-1276. |
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| Authors: | Wen Sheng Wang |
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| Institution: | (1) Department of Statistics, East China Normal University, Shanghai 200062, P. R. China;(2) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China |
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| Abstract: | Abstract
By combining the Cs?rgő–Révész quantile transform methods and the Skorohod–Strassen martingale embedding theorem, we prove
a strong approximation theorem for quasi-associated random variables with mean zero and finite (2+δ)th moment under polynomial
decay rate. As a consequence, the decay rate for a strong approximation theorem of associated sequences of Yu (1996) is weakened.
Research supported by NSFC (10401037) and China Postdoctoral Science Foundation |
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| Keywords: | Quasi-association Partial sum Strong approximation Quantile transform |
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