| 随机变量和的估计定理 |
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| 引用本文： | 张丽娜,陈俊英,闫广州.随机变量和的估计定理[J].河北师范大学学报(自然科学版),2011,35(6). |
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| 作者姓名： | 张丽娜 陈俊英 闫广州 |
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| 作者单位： | 河北农业大学理学院,河北保定,071001 |
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| 基金项目： | 河北省自然科学基金(E2008000357,F2010001044); 河北农业大学非生命学科基金 |
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| 摘 要： | 建立了关于随机序列部分和及加权和增长阶的估计,推广了Freedman收敛速度和已有的结果,这些结果除矩条件外,对随机变量的独立性和联合分布不作具体要求.最后揭示了序偶序列出现的频数与转移概率之间的关系.
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| 关 键 词： | 随机变量的和 收敛速度 拟增函数 强大数定律 |
Estimate Theorems About Sums of Random Variables |
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| ZHANG Lina,CHEN Junying,YAN Guangzhou.Estimate Theorems About Sums of Random Variables[J].Journal of Hebei Normal University,2011,35(6). |
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| Authors: | ZHANG Lina CHEN Junying YAN Guangzhou |
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| Institution: | ZHANG Lina,CHEN Junying,YAN Guangzhou(College of Sciences,Agricultural University of Hebei,Hebei Baoding 071001,China) |
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| Abstract: | The estimate theorems of partial sums and weighted sums for stochastic sequence are established using the known results.These theorems and corollaries have extended the growth rates established by Freedman.No condition of independence or the distribution of random variables are required except the conditions on moments of random variables.Finally,the relationship between frequency and transition probability is obtained. |
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| Keywords: | sums of random variables convergence rates quasi-increasing function strong laws of large numbers |
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