Slepian’s inequality with respect to majorization

Slepian’s inequality with respect to majorization
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DOI:
10.1016/j.laa.2010.10.019
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发表时间:
2011-02
影响因子:
1.1
通讯作者:
Longxiang Fang;Xinsheng Zhang
Longxiang Fang;Xinsheng Zhang
中科院分区:
数学3区
文献类型:
--
作者:
Longxiang Fang;Xinsheng Zhang

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(∗n)分别为协方差矩阵=(σij)和∗=(σ∗ij)的两个中心高斯随机向量。著名的Slepian不等式[8]表明,如果σii= σ∗ii, σij≥σ∗ij,对于每一个i, j= 1,…, n,则对于任意x∈R,
∗ n) be two centered Gaussian random vectors with covariance matrices=(σij) and∗=(σ∗ ij), respectively. The well-known Slepian’s inequality [8] states that if σii= σ∗ ii and σij⩽ σ∗ ij for every i, j= 1,..., n, then for any x∈ R,