ρ*混合序列的Chover型重对数律

ρ^*混合序列的Chover型重对数律

刘君¹, 谭希丽¹,²

1. 北华大学数学学院, 吉林吉林 132013; 2. 吉林大学数学研究所, 长春 130012

收稿日期:2008-05-04 修回日期:1900-01-01 出版日期:2009-03-26 发布日期:2009-03-26
通讯作者: 刘君

Chover’s Law of the Iterated Logarithm forρ^*Mixing Sequences

LIU Jun¹, TAN Xili¹,²

1. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2008-05-04 Revised:1900-01-01 Online:2009-03-26 Published:2009-03-26
Contact: LIU Jun

摘要/Abstract

摘要： 设{X_n,n≥1}是同分布的ρ^*混合序列, 其分布属于特征指数为α(0<α<2)的非退化稳定分布正则吸引场. 利用ρ^*混合序列的矩不等式证明了依概率1有,并获得了一系列等价条件.

关键词: ρ^*混合序列, Chover重对数律, 稳定分布

Abstract: Let {X_n,n≥1} be ρ^*mixing sequences with identical distributions belonging to the domain of the normal attraction with non-degenerate stable distribution. By means of the moment inequalities of the ρ^*mixing sequences, it was proved that probability 1 possesses,and some equivaent conditions were obtained.

Key words: ρ^*mixing sequences, Chover’s law of iterated logarithm, stable distribution

中图分类号:

O211.4

刘君, 谭希丽,. ρ^*混合序列的Chover型重对数律[J]. J4, 2009, 47(02): 281-285.

LIU Jun, TAN Xili,. Chover’s Law of the Iterated Logarithm forρ^*Mixing Sequences[J]. J4, 2009, 47(02): 281-285.

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