NA序列半参数回归模型小波估计的强相合性

对于半参数回归模型yi=xiβ+g(ti)+ei,i=1,2,…,n,对误差{ei,1≤i≤n}为NA序列,在适当的条件下研究了未知参数β的小波估计的强相合,同时也得到了未知函数g(t)的小波估计的一致强相合.     

NA序列线性形式的强稳定性

本文研究了NA变量线性形式的强稳定性.利用随机变量的截尾术及强大数定律,得到了一般情况下不同分布NA变量具有强稳定性的充分条件,推广了NA列的Jamison型加权和具有强稳定性的充分条件.     

基于指数矩鞅差序列非参数回归函数的估计

本文研究了误差项是鞅差序列,且满足某种指数矩条件的非参数回归函数的估计.利用鞅的某种指数不等式,得到了其加权核估计的强相合以及在有限闭区间内一致强相合的性质,并在某种意义上推广了[5]的结果.     

α-混合列强稳定等价条件

本文讨论了α-混合序列的等价条件，对混合速度要求低，改进了相关结果．     

回归函数的混合型递归核估计的强相合性

本文讨论了把最小二乘估计和一类递归核估计结合起来所得回归函数的混合型递归核估计的强相合性.     

On Maximum Likelihood Estimation for Gaussian Spatial Autoregression Models

The article presents a central limit theorem for the maximum likelihood estimator of a vector-valued parameter in a linear spatial stochastic difference equation with Gaussian white noise right side. The result is compared to the known limit theorems derived for the approximate likelihood e.g. by Whittle (1954, Biometrika, 41, 434-439), Guyon (1982, Biometrika, 69, 95-105) and Rosenblatt (1985, Stationary Sequences and Random Fields, Birkhäuser, Boston) and to the asymptotic properties of the quasi-likelihood studied by Heyde and Gay (1989, Stochastic Process. Appl., 31, 223-236; 1993, Stochastic Process. Appl., 45, 169-182). Application of the theory is demonstrated on several classes of models including the one considered by Niu (1995, J. Multivariate Anal., 55, 82-104).     

Parametric estimation for simple branching diffusion processes, II

Consider a simple branching diffusion process, which is a branching process in which the individuals move and live and die in space. The offspring distribution has finite moments of all orders. A parametric estimation theory is presented, using time slice data. This involves the use of third order cumulant spectra to identify and estimate the parameters.     

THE ANALYTICAL SOLUTION FOR ATOMIC STATES IN STRONG CONVERGING LASER FIELD

In this paper,we obtain an analytical solution for the eigenvalues andeigenfunctions of hydrogen atom in strong converging laser fleld with circular polariza-tion,and compare the results with those obtained by determinant-eigenvalue calculation     

Strong F-regularity in images of regular rings

We characterize strong F-regularity, a property associated with tight closure, in a large class of rings. A special case of our results is a workable criterion in complete intersection rings.

     

一类具复杂偏差变元的泛函微分方程

本文研究了一类具复杂偏差变元的泛函微分方程强解的存在性及其性态问题，得到了新的结果．