摘要
设Y_1,Y_2,…,Y_n是在固定点x_1,x_2,…,x_n的n个观察值,适合模型 Y_1=g(x_1)+ε_x,1≤i≤n (1) 这里g是R上的未知函数,{ε_1}为零均值的平稳、φ-混合过程,假定0=x_0≤x_1≤…≤x_(n-1)≤X_n=1。用 g_n(x)=sum from n-1 to ∞n Y_1H_n^(-1)(x_1-x_(x-x)K((x-x_1)/h_n) (2) 作为g(x)[x∈(0.1)]的估计。 本文讨论了g_n(x)的强相合性。
Let Y1,Y2 … Yn be n observations at fixed points x1,x2,…,xn, according to the model(1)where g is an unknown function on R and {εi} is a stationary andφ- mixing sequence with zero mean, suppose that = 1 we useas an estimator for g(x)(x∈ (0, 1)).This paper has discussed the strong convergence of gn(x).
出处
《工程数学学报》
CSCD
1991年第4期117-121,共5页
Chinese Journal of Engineering Mathematics
