| 一类负相关随机变量Galton-Watson随机和的大偏差 |
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| 引用本文： | 孙琪,张梅.一类负相关随机变量Galton-Watson随机和的大偏差[J].北京师范大学学报(自然科学版),2017,53(3). |
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| 作者姓名： | 孙琪 张梅 |
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| 作者单位： | 北京师范大学数学科学学院,数学与复杂系统教育部重点实验室,100875,北京;北京师范大学数学科学学院,数学与复杂系统教育部重点实验室,100875,北京 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究了随机和S_(Zn)∶=Zn∑ i=1X_i的大偏差,式中Z_n为上临界Galton-Watson(G-W)过程的第n代个体数,{X_i,i≥1}为一族同分布的负相关随机变量.所得结果推广了Fleischmann等关于独立同分布随机变量之和的结果.
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| 关 键 词： | 上临界 分支过程 大偏差 负相关 |
Large deviations from sums of negatively associated random variables indexed by a supercritical Galton-Watson branching process |
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| SUN Qi,ZHANG Mei.Large deviations from sums of negatively associated random variables indexed by a supercritical Galton-Watson branching process[J].Journal of Beijing Normal University(Natural Science),2017,53(3). |
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| Authors: | SUN Qi ZHANG Mei |
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| Abstract: | t Large deviations from sums Szn ∶=Zn∑i=1Xi of negatively associated random variables with common distribution are studied,where Zn is the n-th generation of a supercritical Galton-Watson process.We improve upon previous results for sums of independently and identically distributed random variables by Fleischmann et al. |
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| Keywords: | supercritical branching processes large deviation negatively associated |
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