| 随机Bernstein多项式的依分布收敛问题 |
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| 引用本文： | 于巍,许爽爽,姜雪.随机Bernstein多项式的依分布收敛问题[J].数学的实践与认识,2013,43(12). |
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| 作者姓名： | 于巍 许爽爽 姜雪 |
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| 作者单位： | 沈阳工业大学辽阳校区基础部,辽宁辽阳,111003 |
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| 摘 要： | 利用随机的Bernstein多项式研究随机逼近问题具有一定的意义.借助弱收敛的概念,从分布函数的角度,讨论了随机Bernstein多项式依分布收敛问题.同时,与依概率收敛结果相比较,以此说明Bernstein多项式序列依分布收敛适用的范围更广.
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| 关 键 词： | 随机Bernstein多项式 弱收敛 依分布收敛 依概率收敛 |
The Convergence in Distribution Problems of the Random Bernstein Polynomial |
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| YU Wei
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XU Shuang-shuang
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JIANG Xue.The Convergence in Distribution Problems of the Random Bernstein Polynomial[J].Mathematics in Practice and Theory,2013,43(12). |
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| Authors: | YU Wei XU Shuang-shuang JIANG Xue |
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| Abstract: | It is very meaningful for studying the approximation problem of the random Bernstein polynomial.In this paper,the convergence in distribution problems of the random Bernstein polynomial is discussed in use of the weak convergence.Comparing with the convergence in probability,the convergence in distribution is more useful. |
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| Keywords: | random Bernstein polynomial Weak Convergence convergence in distribution convergence in probability |
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