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1.
利用全微分方程的条件,给出一类微分方程的积分因子及通解公式,得出一类全微分方程中未知函数所满足的二阶线性微分方程,获得未知函数及全微分方程的通解。 相似文献
2.
Backfitting Random Varying-Coefficient Models with Time-Dependent Smoothing Covariates 总被引:1,自引:0,他引:1
Abstract. In this paper, we propose a random varying-coefficient model for longitudinal data. This model is different from the standard varying-coefficient model in the sense that the time-varying coefficients are assumed to be subject-specific, and can be considered as realizations of stochastic processes. This modelling strategy allows us to employ powerful mixed-effects modelling techniques to efficiently incorporate the within-subject and between-subject variations in the estimators of time-varying coefficients. Thus, the subject-specific feature of longitudinal data is effectively considered in the proposed model. A backfitting algorithm is proposed to estimate the coefficient functions. Simulation studies show that the proposed estimation methods are more efficient in finite-sample performance compared with the standard local least squares method. An application to an AIDS clinical study is presented to illustrate the proposed methodologies. 相似文献
3.
Anthony G. Pakes Ravindra Khattree 《Australian & New Zealand Journal of Statistics》1992,34(2):307-322
A positive random variable X with a finite mean has an induced length-biased law represented by Y, and Y is stochastically larger than X. An independent uniform random contraction of Y, UY, has the same law as X if and only if the latter is exponential. This property is extended to non-uniform contractions and a more general notion of length-biasing. The distributional equality of X and W leads to a functional equation for the moment function of X, which has either Infinitely many solutions or none. When U is constant, X can have a log-normal law, but it can also have laws with the same moment sequence as this log-nod law. The case where U has a certain beta, or generalized beta, law give t3 characterizations of generalized gamma laws, or to products of independent copies of them. This occurs even when these laws are not determined by their moment sequences. 相似文献
4.
5.
讨论了二阶非线性常微分方程(α(t)(?)(x)x′)′+q(t)f(x)=r(t)的解的振动性和渐近性.获得了有关该方程的五个新的定理. 相似文献
6.
Angelo Zanella 《Statistical Methods and Applications》1992,1(1):143-160
Summary For technological applications it can be useful to identify some simple physical mechanisms, which, on the basis of the available
knowledge of the production process, may suggest the most appropriate approach to statistical control of the random quantities
of interest. For this purpose the notion of rupture point is introduced firstly. A rupture point is characterized bym randomly arising out of control states, assumed to be mutually exclusive and stochastically independent. Shewhart's control
charts seem to represent the natural statistical tool for controlling a rupture point; however it is shown that they are fully
justified only when the hazard rates attached to the causes of failure are constant. Otherwise, typically in the presence
of time increasing hazard rates, Shewhart's control charts should be completed by a preventive intervention rule (preventive
maintenance). In the second place, the notion of dynamic instability point is introduced, which is specifically characterized
by assuming that the random quantity of interest is ruled by a stochastic differential equation with constant coefficients.
By discretization, developed according to a possibly new approach, it is shown that the former model reduces to an equation
error model, which is among the simplest used in adaptive control, and thus particularly easy to deal with in regard to parameter
estimation and the definition of the optimum control rule. 相似文献
7.
提出了变质量系统的相对论性万有D’Alembert原理,构造了相对论性广义动能函数,建立了变质量任意阶非线性非完整系统在准坐标下和广义坐标下的相对论性广义Mar-Millan型方程,并得到厂相应的型方程 相似文献
8.
唐春香 《湖南文理学院学报(社会科学版)》2006,31(4):128-130
韩礼德的系统功能语法直接和间接地激发了许多新的教学理论和方法的产生。英语教学中应尝试把该语法的六个核心思想之一的“层次的思想”与英语词汇教学联系起来,通过音系层、词汇语法层和语义层三位一体的英语教学法提高学生的英语综合知识和技能。 相似文献
9.
鲜大权 《电子科技大学学报(社会科学版)》2006,(6)
利用李群对称方法,通过构造变换不变量,将一类1 1维非线性波动方程化为常微分方程,得到了这一类非线性波动方程的一些新的显式精确解,包括孤子解、三角函数解和椭圆函数周期解。 相似文献
10.
互信息作为衡量两幅图像配准的相似性测度函数,当两幅图像配准时,互信息达到最大值。该文提出了基于互信息脑功能磁共振图像配准新方法,采用了无需计算梯度的Powell直接搜索算法,并通过多分辨的方式加快了图像配准速度。磁共振的配准实验证明,互信息法能准确地实现多模态医学图像的配准,并且能达到亚像素的精度。 相似文献