高斯序列极值与部分和的几乎处处中心极限定理
Almost Sure Central Limit Theorems of Extremes and the Partial Sum of Gaussian Sequences
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摘要: 对于标准化平稳高斯序列,当协方差函数满足弱相依条件时,证明了最大值、最小值及部分和联合的几乎处处中心极限定理.Abstract: For a standardized stationary Gaussian sequence, the joint version of the almost sure central limit theorem related to maximum, minimum and the partial sum is considered when the covariance function satisfies some weak dependence conditions.
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