未分类题

设xk=(k=1,2,…,N)是N个高斯随机变量,其线性组合
   
   仍为高斯随机变量,且有x~N(μx)。证明:
 
   和
 
   式中
   
   

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【参考答案】

设N个高斯随机变量xk=(k=1,2,…,N)构成N维联合高斯随机矢量
x=(x
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