A Moderate Deviation Principle for m-Dependent Random Variables with Unbounded m

被引:0
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作者
Yu Miao
Guangyu Yang
机构
[1] Henan Normal University,College of Mathematics and Information Science
[2] Zhengzhou University,Department of Mathematics
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关键词
Moderate deviations; -dependence; The truncation estimator; The analysis of time series; 60B12; 60F10;
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摘要
In this paper, a theorem on the moderate deviation principle for random arrays under m-dependence with unbounded m is established. This partially extends the results of Chen (Stat. Probab. Lett. 35:123–134, 1997). As an application, the moderate deviation principle for the truncation estimator of the variance in the analysis of time series is obtained.
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页码:191 / 199
页数:8
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