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A LIL for independent non-identically distributed random variables in Banach space and its applications
【摘要】 <正>In this paper,we prove a general law of the iterated logarithm (LIL) for independent non-identically distributed B-valued random variables.As an interesting application,we obtain the law of the iterated logarithm for the empirical covariance of Hilbertian autoregressive processes.
【Abstract】 In this paper,we prove a general law of the iterated logarithm (LIL) for independent non-identically distributed B-valued random variables.As an interesting application,we obtain the law of the iterated logarithm for the empirical covariance of Hilbertian autoregressive processes.
【关键词】 law of the iterated logarithm；
independent random variable；
autoregressive Hilbertian processes；
covariance operator；
【Key words】 law of the iterated logarithm； independent random variable； autoregressive Hilbertian processes； covariance operator；
【Key words】 law of the iterated logarithm； independent random variable； autoregressive Hilbertian processes； covariance operator；
【基金】 the National Natural Science Foundation of China (Grant Nos.10671176,10771192)
- 【文献出处】 Science in China(Series A:Mathematics) ,中国科学(A辑:数学)(英文版) , 编辑部邮箱 ,2008年02期
- 【分类号】O177.2
- 【被引频次】2
- 【下载频次】24