| LARGE DEVIATIONS FOR STATIONARY φ-MIXING SEQUENCES IN τ-TOPOLOGY |
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| 作者姓名： | Hu Yijun |
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| 作者单位： | Hu YIJUN Department of Mathematics，Wuhan University，Wuhan 430072，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China |
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| 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.
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| 关 键 词： | Large deviation Empirical measure Stationary sequence Φ-mixing τ-topology |
| 收稿时间： | 1994/1/14 0:00:00 |
LARGE DEVIATIONS FOR STATIONARY 8-MIXING SEQUENCES IN 28-TOPOLOGY |
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| Hu Yijun.LARGE DEVIATIONS FOR STATIONARY 8-MIXING SEQUENCES IN 28-TOPOLOGY[J].Chinese Annals of Mathematics,Series B,1996,17(2):149-158. |
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| Authors: | Hu Yijun |
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| Institution: | DepartmentofMathematics,WuhanUniversity,Wuhan430072,China. |
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| Abstract: | The results of Bryc on large deviations for
empirical measures of stationary $\Phi$-mixing
sequences are extended. Bryc states
his results in the usual weak topology on the space of probability
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 integrals over bounded measurable functions. |
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| Keywords: | Large deviation Empirical measure Stationary sequence $\Phi$-mixing $\tau$-topology |
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