Large deviation;
Empirical measure;
Stationary sequence;
Φ-mixing;
τ-topology;
D O I:
暂无
中图分类号:
O211.6 [随机过程];
O [数理科学和化学];
学科分类号:
020208 ;
07 ;
070103 ;
0714 ;
摘要:
The results of Bryc on large deviations for empirical measures of stationary Φ-mixing sequences are extended. Bryc states his results in the usual weak topology on the space ofprobability measures. In this paper, under somewhat weaker assumptions than those of Bryc,the author extends Bryc’s results by taking the finer topology which is generated by the integralsover bounded measurable functions.