渐近的

Li 101 proved the nonlinear ergodic theorem for semitopological semigroups of Lipschitzian mappings in the uniformly convex Banach space with the Frechet differentiable norm without using the concept of invariant mean and submean. In Chapter 1, we extend the results in [23 [24] to the case of almost-orbit.

Li［10］避开了不变平均及不变子平均的概念，在具Frechet可微范数的一致凸Banach空间中，给出了一般拓扑半群上渐近非扩张半群的遍历压缩定理。

Ruck, Hirano and Reich extended Baillon抯 theorem to a uniformly convex Banach space with a Frechet differentiable norm. Hirano-Kido-Takahashi, Oka, Park and Jenong proved the ergodic theorem for commutative semigroups of nonexpansive mappings and asymptotically nonexpansive mappings in the uniformly convex I3anach space with the Frechet differentiable nonn.

aillon的定理被Bruck，Hirano及Reich推广到具Frechet可微范数的一致凸Banach空间中，而当G是一般交换拓扑半群时，Hirano-Kido-Takahashi，Oka，Park及Jeong分别给出了具Frechet可微范数的一致凸Banach空间中非扩张半群及渐近非扩张半群的遍历压缩定理和遍历收敛定理。

The error variance in genetic analysis of poultry continuous traits was estimated by the method of the linear model.

利用线性模型对家禽连续性状遗传分析的误差方差进行了估计，并得到估计的矩完全收敛的精确渐近性质。

The empirical wavelet coefficients of the error variance in the model are given and shown to be asympototically i.i.d. normal.

首先给出了回归模型的条件方差函数的经验小波系数，然后证明了它们是渐近独立和正态的。

We establish a differential equation system via Newton method, and prove that the solution of nonlinear complementarity problems is exact the equilibrium point of differential equation system.

应用了牛顿的方法建立了微分方程系统，证明了非线性互补问题的解是所构造微分方程系统的渐近稳定平衡点，并给出了算法，证明了算法具有二阶收敛速度。

By using the kernel-type density estimation in the case of identically distributed and negatively associated samples, the empirical Bayes test rules for the scale exponential family are constructed, and the asymptotically optimal property is obtained.

本文利用同分布负相协样本情形概率密度函数的核估计构造了刻度指数族参数的经验Bayes检验函数，并获得了它的渐近最优

We definite and study the very extensive nonlinear random effect models, i. e. exponential family nonlinear models with random effect, then we employ the Laplace methods to deal with these models. Based on this method, the fixed effect parameter estimates and Gauss-Newton formula are obtained. Some asymptotic properties of estimate are proved under some mild assumptions.

首次定义并研究了一类非常广泛的非线性随机效应模型-指数族非线性随机效应模型，并应用Laplace展开方法，给出该模型中固定效应参数的估计以及Gauss Netown选代算法，同时讨论了参数估计的渐近性质。

For separable and continous exponential family models (such as normal, gamma, and inverse Gaussian models), this paper discusses the tests for departures from nominal dispersion in the framework of longitudinal nonlinear models with varying dispersion and/or random effects. The score test statistics are constructed and their asymptotic distributions and local powers are derived.

本文针对可分的连续型指数族回归模型（如正态模型，Γ模型，逆高斯模型），讨论广义非线性纵向数据模型中偏离名义离差的检验问题，得到了检验的score统计量，并推导了它们的渐近分布和局部近似功效。

The sufficient conditions for guaranteeing the permanence of the system and the existence and uniqueness of periodic solution having globally asymptotical stability are obtained by using the extremum principle,fixed point theorem and V function method s together.

讨论一类具 Holling 类功能反应和放养的捕食链非自治扩散系统，应用极值原理和不动点定理及 V函数法，得到该系统的一致持久性以及存在唯一全局渐近稳定周期解的充分条件。

In the study of the asymptotic properties, the testing statistics converges to a zero mean Gaussian process and is very sensitive to the to the local alternatives converging to the null one at a parameter convergent rate.

研究发现，文中的检验统计量在原假设下渐近收敛于一个零均值的高斯过程，并且对以参数速度收敛到原假设的被择分布特别敏锐。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。