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自回归模型的Chover型重对数律 被引量:1

Chover′s law of the iterated logarithm for autoregressive models
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摘要 利用稳定分布尾概率性质,研究了在扰动为稳定分布的条件下的二阶非稳定回归模型的强收敛性,得到了积分检验的结果,并由此推出了Chover型重对数律,推广了相关文献的结果. By the tail property of stable distribution, the paper discusses the strong law for an unstable second- order autoregressive models when the "white noise" is stable distribution. The integral test is obtained, and the Chover's type law of the iterated logarithm is reduced, which extends some corresponding results
作者 李炜 柳向东
出处 《纯粹数学与应用数学》 CSCD 2013年第1期19-24,32,共7页 Pure and Applied Mathematics
基金 国家自然科学基金(11271161)
关键词 自回归模型 重对数律 autoregressive models, law of the iterated logarithm
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