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When the random error is not subject to normal distribution, the least absolute deviation estimation is superior to the least squares estimation. In addition, the robustness of the least absolute deviation estimation is also better than that of the least squares estimation.

在随机误差不服从正态分布的问题中,最小一乘估计的统计性能优于最小二乘枯计;另外,最小一乘估计的稳健性更强。

Human Hp 1-1, cervine Hp, and porcine Hp is homogeneous dimer2, tetramer4, and dimer ????

人类Hp 1-1、鹿Hp以及猪Hp在型态上个别为同质性二聚体????

Meanwhile, it could be seen that there does not exist a confidence interval with width less than 0.5 because of the property of Poisson distribution. Based on these conditions, the author mainly carried out research into two aspects of this problem as follows. Firstly, by numerical and theoretical analysis, the author compares some existent confidence intervals, for example,"exact" confidence interval, Wald confidence interval and Bayesian confidence interval, and finds some deficiencies points of the confidence intervals, whose modification version has been proposed .Also, several better confidence intervals such asare also presented .Secondly, for given confidence coefficient and interval width, the author constructs a class of asymptotical two-stage interval estimate procedures. At the same time, under varies restriction of confidence coefflcientent interval width, the optional sample size of the first stage has been computed by numerical computation. The numerical computation shows that the method considered in this dissertation have good properties and applied value.

同时,由于Poisson分布的特性,我们知道不存在其参数区间长度小于0.5的置信区间,基于这些情况,我们主要展开了以下两个方面的研究:一是利用数值计算分析与理论分析的方法对现有的若干置信区间如"精确"置信区间,Wald置信区间,Bayes置信区间等进行分析比较,发现了一些缺陷,针对这些缺陷,我们进行适当的修正,并得到几种性质较好的置信区间如:修正大样本区间Jeffreys原则下置信区间二是针对已给定的置信系数与区间长度,我们提出了一种渐近的两阶段区间估计程序,并利用数值计算的方法,在各种置信系数与区间长度限定下,算出了最优的第一阶段观测次数,大量数据表明,本文考虑的方法性态良好,具有应用价值。

This paper makes use of a Lyapunov function and a nonlinear integral inequality of Gronwall-Bellman-Bihari type to study the asymptotic hehaviors of solutions of a second-order nonlinear functional differential equation.

本文利用李雅普诺夫函数及一个Gronwall—Bellman—Bihari型的非线性积分不等式,研究一类二阶非线性泛函微分方程解的渐近性态,在第一部份,给出一组方程的全体解可延展到t=+∞的充分条件及三组方程的全体解有界的充分条件。

This paper makes use of a Lyapunov function and a nonlinear integral inequality of Gronwall-Bellman-Bihari type to study the asymptotic hehaviors of solutions of a second-order nonlinear functional differential equation. In part I, a group of sufficient conditions is given on continuation of solutions and three groups of sufficient conditions are given on boundedness of solutuicns of equation.

本文利用李雅普诺夫函数及一个Gronwall—Bellman—Bihari型的非线性积分不等式,研究一类二阶非线性泛函微分方程解的渐近性态,在第一部份,给出一组方程的全体解可延展到t=+∞的充分条件及三组方程的全体解有界的充分条件。

In this paper, we have studied the dimensional effects, electronic state, the configurations of charge density and spin density for quasi-one-dimensional organic ferromagnets. First, considering interchain interaction, the itineracy of electrons, the electron-electron correlation, electron-phonon interaction and spin correlation in low dimensional system, we proposed an interchain coupling theoretical model for conjugated system and non-conjugated system of organic polymer ferromagnets, respectively. Based on the theoretical model, we studied the electronic property, spin structure, the configuration of dimerization and the stability of the ferromagnetic state with a self-consistent iterative method.

首先我们在考虑准一维有机铁磁体的链间相互作用、电子的巡游性、强的电子-电子关联、电子-声子耦合、自旋关联等因素的基础上,分别对两种类型的有机高聚物铁磁体各自提出一个包含链间耦合的理论模型,用自洽迭代的数值计算方法对其电子性质、自旋结构、二聚化特征及铁磁态的稳定性进行了研究。

The observation results reveal the difference between surrounding rock pressures of shallow tunnel calculated by exiting methods and test results is large, pressure figure seems cat ear, surrounding rock pressure of deep tunnel belongs to clastic pressure, the test result is consistent with result by modified KAKE formula, the invert stress properties of shallow tunnel and deep tunnel are different, the axial force of lattice girder is at pressure in majority, and the stress of second lining is relatively small in loess highway tunnel.

实测结果表明:现有浅埋隧道围岩压力公式计算结果与实测结果偏差较大,其分布呈"猫耳朵"形状;深埋隧道围岩压力属形变压力,其实测值与修正卡柯公式计算结果较为一致;深埋与浅埋隧道中仰拱的受力性态有所不同;格栅拱钢筋轴力以受压为主;黄土公路隧道二次衬砌受力相对较小。

In the second chapter, we obtain a sufficient condition for that there exist two elements x and y which satisfy x⊥Iyand x⊥By. As a result, it is proved that there exist elements x and y with x⊥Iyand x⊥Eyin any real two-dimensional normed linear space.

本文从点态入手,在第二章中,给出了既等腰正交又Birkhoff正交的元存在的一个充分条件,证明了在任意实二维赋范线性空间中既等腰正交又欧式正交的元的存在性。

Photooxidation process of volatile organic compounds and gas/particle partitioning process of their photooxidation products are very important on formation of secondary organic aerosol s.

挥发性有机化合物的光氧化过程和光氧化产物的气态粒子态均分过程是二次有机气溶胶形成的重要原因。

Based on the distance of Kullback-Leibler, this paper give the exact definition of the maximum Kullback-Leibler distance between two different distribution functions and prove that this one has analytic properties such as symmetry, triangle inequality which is the same as the Euclidean distance. By the definition, the maximum Kullback-Leibler distance between some conventional distributions, such as two different binomial distributions, two different normal distributions are obtianed.

在Kullback-Leibler距离的基础上,定义了两个概率分布之间的最大Kullback-Leibler距离,证明了这个距离具有欧式距离的对称性,三角不等式性等分析性质,依照该定义,计算了两个不同的二项分布,两个不同的正态分布等一些常见分布之问的最大Kullback-Leibler距离。

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