研究了同分布宽相依随机变量的随机加权和的精致大偏差,所考虑的宽相依不但包括一些负相依随机变量,还包含一些正相依以及其他相依随机变量.当随机变量的共同的分布F属于一致变换尾分布族时,得到了一个精致大偏差的估计,此结果推广了文献[1]的相应结果.
This paper studies the precise large deviation for randomly weighted sums of widely dependent random variables with common distribution. The wide dependence structures include negative dependence, positive de- pendence and other dependence structures. When the common distribution F of random variables belongs to the consistently variable tailed class, the asymptotic formula is obtained, which extends the results of Reference [1].