查询词典 asymptotic behavior

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。

Another simple synthetic proof of finiteness of areas of asymptotic triangles in non-Euclidean geometry is given.

给出双曲非欧几何中极限三角形面积有限性的另外一种简单证明。

The general Fredholm integral equation of the first kind with logarithmic kernel in 2 dimensions does not always have unique solution, especially for the unbounded problem, it depends on the asymptotic behaviour at infinity.

对二维问题，一般的带对数积分核第一类Fredholm 积分方程并不总是唯一可解的，特别是对外边值问题，解在无穷远处的形态有很大的影响。

This paper dealt with the uniform stability and the uniformly asymptotic stability of neutral functional differential equation with infinite delay .

以B空间为相空间，利用D算子的性质及Liapunov泛函方法，研究了具无穷时滞中立型泛函微分方程零解的稳定性。

Kolmogorov introduced the fundamental asymptotic invariant for a dynamical system, the entropy.

Kolmogorov 引入了动力系统的基本的渐近不变量，熵。

For the timelike surfaces with constant positive Gaussian curvature (K=1) in R〓, we construct the correspondence between R〓 and sl (2, R), and deduce the fundamental equations for a special choice of the velocity of motion of time-like surfaces in asymptotic coordinates under suitable conditions, meanwhile, we give the B〓cklund transformation and one soliton solution of the evolution equations, then in terms of a gauge transformation we obtain the explict expression of the motion of surfaces.

对于三维Minkowski空间R〓中具有正常高斯曲率（K=1）的类时曲面，取定特定速度，在以渐近线作为坐标曲线的情况下，曲面运动满足两个基本方程，即sinh-Gordon方程和θ随时间演化的方程（其中θ表示两条渐近线之间的夹角），同时给出两个基本方程的B〓cklund变换和单孤子解，并通过规范变换给出相应的正常高斯曲率曲面的显式表达式。

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。

In 1967, Strauss and Yorke introduced the concept of generalized positive limit sets for asymptotic autonomous differential equations.

1967年， Strauss和Yorke引介渐进自律微分方程当中的广义正向极限集。

The generalized Law of Mean with unilateral derivative and its asymptotic features of the "centred dot" are studied.

本文研究了单侧导数的广义中值定理及其"中间点"的渐近性质，进而获得了更广泛的结果。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48