高斯概率的紧密性和指数紧密性

Pub Date : 2020-01-08 DOI:10.1051/ps/2020003
P. Baldi
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引用次数: 3

摘要

我们证明了在可分离的Banach空间中具有值的高斯rv序列的一个简单的指数紧性准则,并由此推导出了大偏差的一般结果,使得在各种情况下容易得到LD估计。
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Tightness and exponential tightness of Gaussian probabilities
We prove a simple criterion of exponential tightness for sequences of Gaussian r.v.’s with values in a separable Banach space from which we deduce a general result of Large Deviations which allows easily to obtain LD estimates in various situations.
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