令Xn=(Xjk)1≤j≤p,1≤k≤n,X1,…,Xn是Xn的n个相互独立的列向量,并且Xk=(X1k,X2k,…,Xnk)′服从AR(1)模型,具体给出了当p→∞,n→∞,且p/n→y时,样本协方差阵Sn=1/n∑nk=1XkX′k的极限谱密度.
Let Xn=(Xjk)1≤j≤p,1≤k≤n,X1,…,Xnbe n independent columns of Xn,and Xk=(X1k,X2k,…,Xnk)'are form AR(1)model.When p→∞,n→∞ and p/n→y,this paper gives the LSD of the sample covariance matrix Sn=1/n∑nk=1XkX'k.