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WANG Li-li, DU Shi-ping. Almost sure convergence of the maximum for a class of strongly dependent non-stationary Gaussian sequences[J]. Journal of Yunnan University: Natural Sciences Edition, 2012, 34(6): 629-633,640.
Citation: WANG Li-li, DU Shi-ping. Almost sure convergence of the maximum for a class of strongly dependent non-stationary Gaussian sequences[J]. Journal of Yunnan University: Natural Sciences Edition, 2012, 34(6): 629-633,640.

Almost sure convergence of the maximum for a class of strongly dependent non-stationary Gaussian sequences

  • It is suppose that Xn,n≥1 is a standardized strongly dependent non-stationary Gaussian sequences with data missing,and let rij=EXiXj.The joint limiting distribution of complete and incomplete samples’ maximum is derived as rijln(j-i)→r∈(0,∞).Furthermore,the almost sure convergence of the joint limiting distribution is proved.
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