φ-混合重尾随机向量序列的Chover型重对数律

Chover's LIL for (?)-Mixing Sequence of Heavy-Tailed Random Vectors

本文讨论同分布的φ-混合随机向量序列其共同分布属于某个没有Gauss分量的广义的半稳定律的吸引场部分和的积分检验的极限结果,由此可推出相应的Chover型重对数律.

In this paper, we discuss the integral test limiting results for the partial sums of sequence of identically distributed (?)-mixing random vectors with commom distribution belonging to the generalized domain of operator semistable attraction (GDOSA) of some nonnormal law, whence the corresponding Chover's LIL is derived.