区间估计

Recently many of statisticians have been interested in the functional coefficient model because of its simplifying structure, meaningful interpretation and wide application. In the chapter 2, estimators of parameters of linear functional coefficient structural model under interval-censored covariate studied.

由于协变量区间删失，为此我们创立了一个与协变量具有相同均值的变量，然后利用加权最小二乘估计法得到了变系数一维线性结构关系模型中的参数估计，当协变量的分布已知时，证明了估计的弱相合性和强相合性。

Based on censored data, a smoothing estimation method is proposed to estimate the parameter functions. Moreover, a consistent estimator for the asymptotic variance matrix of the estimators is provided. The limiting distribution of estimated functions and the estimator of variance matrix enable us to construct approximated regions.

根据截切资料，我们提供平滑估计法以便估计参数函数，接著，我们也对估计函数的变异矩阵提出一个估计式，利用估计式的常态分配逼近，其相对应的信赖区间建构法也被提出。

In addition,an upper bound of multivariate Gaussian probability for a general convex domain is given based on a geometric observation.

利用已得一维Mills率的估计验证了在部分参数区间上我们的上界估计要优于已有的估计。

This paper considers the estimate of the upper bound of second eigenvalue for the differential operator with any order.

考虑了任意阶微分算子第二特征值的上界估计，获得了用第一特征值来估计第二特征值的上界的不等式，其估计系数与区间的度量无关。

If average values before or after catastrophe point when the pressure at both ends reduces exceed the threshold value, judging that there is leak and positioning: calculating approximate wavelet transformation coefficient of pressure data at both ends, initializing searching interval, calculating a signal time delay value corresponding to approximate wavelet transformation coefficient in the searching interval from maximal scale N; converting the time delay value under scale N to that under N-1 by geometric proportion relation; updating the searching interval, repeating above processes until the scale is 0 and positioning based on the time delay value.

若两端压力下降突变点前后的均值变化均超过阈值，判定有泄漏并进行定位：计算两端压力数据的近似小波变换系数，初始化搜索区间，从最大尺度N开始在搜索区间内计算对应近似小波变换系数的信号时延值，利用等比关系将尺度N下的时延估计值转换为N-1下时延估计值，以该值更新搜索区间，重复以上过程至尺度为0，以此时延估计值进行定位。

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

The author gives two methods to specify the scale interval by using fitting of three—broken—line as well as statistical hypothesis testing based on the estimate of the derivative of the double logarithmic curve.

由于实际动力系统的混沌吸引子其自相似性只能在一定的尺度范围内存在，文中给出了两种无标度区间的确定方法以正确地估计吸引子的分形维数，即三折线拟合方法和通过直接估计双对数曲线上每一点的导数并利用统计假设检验方法确定合理的无标度区间。

Essay 2: This paper examines the effect of obesity on earnings. It analyzes the 2001 National Health Interview Survey of Taiwan using the ordered probit model with sample selection in which earnings are defined as an ordered variable. We also transform the earnings from ordered variable to continuous variable and use the Heckman's two-stage model to estimate the effect.

第二篇：本文主要在探讨肥胖对收入的影响，并使用国家卫生研究院，民国90年国民健康访问调查资料(National Health Interview Survey， NHIS)来进行分析，并采两阶段的ordered probit with sample selection模型来进行估计，其中第一阶段为样本的就业选择问题，而第二阶段为样本在有就业的情况下，肥胖对劳动者收入的影响，而此收入为区间资料；另外，本文还将收入的区间资料转换为连续资料，以Heckman's two-stage的方法估计，并比较两估计结果。

In order to design a scheme to quantify the observation and to get the fusion estimation from the received bits,the estimation fusion problem was changed into that of decision fusion.The interval was divided into subintervals,each subinterval was assigned a hypothesis,suitable cost coefficients of each hypothesis was selected to form the Bayes cost functional,and a mapping from estimation fusion to decision fusion was constructed.

采用将区间划分，每一区间形成一个假设，规定假设之间合适的损失系数，将估计融合问题化为决策融合问题，运用成熟的决策融合的方法，对于现在研究还不成熟的估计融合传感器量化问题设计了一个解决方案，将决策融合的决策结果作为最终的估计，从而在观测被量化的条件下达到较优的估计效果。

It can identify the denomination and paper currency and seek out deformity. Concerning shortages of the previsions design of Paper Currency Identification Instrument, such as poor seeking-out deformity and defective unity of paper currency between new version and old one, a new identifying method is promoted in the thesis that Eight-line Seeking-points Method based on regional gray scale and paper currency sample database is on service by means of the points from paper-scanned background edge looking for the points on the paper edge.

本文针对当前国内图像识别技术在纸币清分机中的应用不成熟而导致对人民币挑残能力弱、在人民币新旧程度和面向分类中的一致性差的情况，提出了一种基于区域灰度特征提取的八线找点算法和区间估计建立标准样本库相结合的图像识别方法。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。