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The alternative estimators used in this paper include least squares estimator, stratified weighted least squares estimator, probability weighted least squares estimator, and Quasi-Aitken weighted least squares estimator.

中文摘要抽样调查设计随著资讯需求的增加日益复杂,然若参数的估计方法无法配合所使用的抽样调查设计,则统计推论结果将难以达到预期的精确度。

Sufficient conditions for existence of positive periodic solutions of these systems are established and we investigate a stochastic Lotka-Volterra ecosystem, by use of the mixed quasi-monotone theory and Liapunov function method, some new results are obtained.

最后,我们研究了n种群随机Lotka-Volterra生态模型,利用混合单调流理论和It〓型随机微分方程知识,得到了其解过程的均方渐近稳定性和强生态稳定性的结果。

In Chapter 4, using the formula A_k(2) given by Wei, we propose a new A_k(2)-SQP method, which develepments the using of the quasi-Newton formula BFGS, and combines with SQP method to solve constrained optimization problems, the corresponding algorithm possesses global convergence and supei linear convergence property.

第四章,利用韦提出的A_κ(2)公式,我们给出了一种A_κ(2)-SQP方法,该方法把拟牛顿修正公式BFGS进行了推广,并结合SQP方法去解约束优化问题,相应的算法具有全局收敛性和超线性收敛性。

There have been a lot of studies this aspect when the exact solution u∈H~2 or u∈H~3. [4], [52] and [50]studied the convergence of conforming linear triangle elements with minimal regularity assumptions u∈H~4, here u is the solutions of the second order elliptic problems. However, their is another vital deficiency of the previous studies, i.e., they relies on the regularity assumption or quasi-uniform assumption on the subdivision of meshes.

对二阶问题,构造了一个新的单元格式,当其精确解具有低正则性时,在不要求网格满足正则假设或拟一致假设的条件下,我们得到了最优误差估计,与[33]相比,我们的证明方法较为简单;对于Stokes问题,研究五节点非协调矩形元对它的逼近,通过引入全新的估计方法,给出了关于速度、压力的超逼近性质。

For the original infinite dimensional problem, if the inexact quasi-newton method with Broyden updating can not converge quickly , for example, it can not attain super linear convergence rate , then when the discretization is becoming finer and finer , we can not get fast convergence rate for the corresponding finite dimensional problem.

对于原来的无限维问题,如果使用不精确Broyden方法不能得到较快的收敛速度,比如超线性收敛性,那么当离散化逐渐加细的时候,对于所得的有限维问题使用不精确Broyden方法也不可能得到较快的收敛速度,所以有必要在无穷维空间上对收敛性问题加以分析,从而为不精确拟牛顿法结合投影法求解算子方程做好准备。

For this new definition of quasi-sliding mode its stability problem is proved meanwhile the linear switching function is determined.

对新定义的准滑动模态,解决了其稳定性并给出了切换函数。

The paper has proposed the concept and the analysing method of quasi-symmetrical array, so that the order of linear equations is reduced by half.

提出准对称阵列的概念及分析方法,将上述线性方程组的阶数降低了一半。

According to the linear search technique, the Quasi-Newton algorithm can be divided into monotone algorithm and non-monotone algorithm.

根据所采用的搜索准则,拟牛顿算法可以分为单调的算法和非单调的算法。

In chapter three, quasi-newton methods are introduced, Wolfe-Powell and Armijo linear search are also presented.

这些在论文以后的各章节都要反复用到。

A simultaneous dual-wavelength continuous wave, quasi-cw or linearly polarized wave diode-end-pumped Nd:YAG laser operating at 1319nm and 1338nm is demonstrated. To the best of our knowledge, our experimental results achieve the highest level in the domestic domain. The simultaneous dual-wavelength laser provides an experimental basis for generating highly coherent THz wave radiation of 3.23THz by nonlinear optical difference frequency method.2. A diode-end-pumped Nd:YAG crystal, type-I critical phase matching LBO crystal intra-cavity frequency doubled, simultaneous multi-wavelength red laser at 659.5nm, 664nm and 669nm is firstly realized.

本论文主要围绕用于差频产生THz辐射源的多波长激光器及THz光子晶体的带隙特性分析而展开,论文的主要内容包括:一、从LD端面泵浦固体激光器的激光阈值公式出发,理论计算了腔镜对于两个波长的透过率关系,实现了LD端面泵浦Nd:YAG 1319nm/1338nm双波长激光连续、准连续及线偏振稳定输出。

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Lao Qiu is the Chairman of China Qiuyang Translation Group and the head master of the Confucius School. He has committed himself to the research and promotion of the classics of China.

老秋先生为中国秋阳翻译集团的董事长和孔子商学院的院长,致力于国学的研究和推广。