一类负相关随机变量Galton-Watson随机和的大偏差

Large deviations from sums of negatively associated random variables indexed by a supercritical Galton-Watson branching process

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.

Large deviations from sums S_（Zn）∶=Zn∑ i=1X_iof 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.