矩

Based on the equivalent transformation from fuzzy possibility distribution to random probability density distribution, the fuzzy random failure probability calculation can be formulated easily, and a First Order and Second Moment method for fuzzy - random analysis is established.

提出了模糊随机可靠性分析的近似解析和数字模拟综合方法，基于模糊变量的等价随机化变换，可以方便地得到模糊随机失效概率的计算公式，并建立了模糊随机可靠性分析的一次二阶矩法。

The error variance in genetic analysis of poultry continuous traits was estimated by the method of the linear model.

利用线性模型对家禽连续性状遗传分析的误差方差进行了估计，并得到估计的矩完全收敛的精确渐近性质。

College of Mechanical Engineering and Applied ET,Beijing University of Technology,Beijing 100022,China

提出了一种基于BP神经网络与图像不变矩的页面识别方法。

To choose the reasonable exceedance threshold, mean excess function and De-Haan moment estimate are used.

为了选择合理的超越门限，采用平均剩余函数和De-Haan 矩估计相结合的方法。

We give a simple and practical method to decide on exceedance threshold. Based on the linearity of mean excess function which is a qualitative means,this method uses moment estimate plot to analyze quantitatively the varying trend of shape parameter with changing thresholds.and combines these two means to choose reasonable threshold.

我们给出了确定超越门限的一种简单实用方法，该方法基于平均剩余函数图形的线性性这种定性方法，利用矩估计图定量分析形状参数估计随门限值变化趋势，将两种方法相结合来确定合理的超越门限。

There are totally five chapters in the paper. Chapter 1 is the introduc-tion,and extreme value theory and methods and modelling for returns fat tails are introduced systematically in Chapter 2.This chapter also presents mean excess function and de Haan's moment estimate to decide on the reasonable exceedance threshold. Chapter 3 describes in detail non-linear time series mod-els such as GARCH models and the corresponding statistical inferences,and it also gives modelling and statistical analysis methods for returns series. Chap-ter 4 uses the models in Chapter 2 to analyzes the daily returns for Shanghai complex index and Shenzhen complex index in the Shanghai and Shenzhen stock markets. Chapter 5 applies the models in Chapter 3 to the volatility analysis of the two stock indices returns.

论文总共五章：第一章是引言部分；第二章系统介绍了极值理论方法和收益率厚尾的建模方法，给出了平均剩余函数法和de Haan矩估计相结合的方法确定合理的超越门限；第三章详细论述了非线性时间序列模型GARCH类模型及其统计推断，并且给出了收益率时间序列波动的建模和统计分析方法；第四章利用第二章的模型对国内沪深两市大盘指数上证综指和深证综指日收益率数据分布的厚尾进行了实证分析；第五章将第三章的模型应用到两个股指日收益率时间序列的波动分析。

Under the assumptuion that the lower bound of the density of the observed nonlinear AR (1) time series is known, we prove that the nonlinear wavelet estimator of the conditional mean function g, which is similiar with the one introduced in Chapter 2, still has the same good adaptive properties for this kind of nonlinear AR (1) series on account of the moment inequalities and exponential type inequalities for strong mixing processes.

在假设观测序列的的密度函数的下界已知的条件下，我们利用关于强混合过程的矩不等式以及指数型不等式证明了类似于上一章的小波估计对于非线性AR（1）模型中条件均值函数的非参数函数估计仍然具有优良的自适应性质，并同样给出了数值模拟的结果分析。

Vidicon collect simulate image in period of time and send to computer or DSP chip through video collection card digitlization,use computer to gain eyewinker and process digital image processing:using image area segment and boder measure to calculate area and perimeter;using image smoothness to wipp offthe infection of yawp;using dynamic background and image suited technology to overcome the infection of ray;calculation the parameter of eyewinker(area, perimeter,round measurement, proportion characer and invariant monent),using least norm to design the linearity classify parts,using image matching technologyto classify eyewinker,and to judge whether the eyewinker is harmful to diff background,if the eyewinker satisfy the character require of harmful object ,system will auto-stsrt alarm device. If there ia not have found any eyewinker, Vidicon will collect new simulate image and make processing.

本设计是将摄像机或高频头采集到的模拟图像经过视频采集卡数字化后送入计算机或DSP芯片，利用计算机对采集到的一定时间段内的图像进行异物获取，并对异物图像进行数字图像处理：利用图像区域分割和边缘检测以便进行面积和周长的计算，利用图像平滑去除噪声的影响，利用动态背景运动检测法和图像配准技术克服光线的影响，并通过异物的各类参数（如面积、周长、圆形度、比例特征和不变矩等）的计算，采用最小范数分类法设计了线性分类器，利用图像匹配技术对异物进行分类，从而判断异物是否有害，针对于不同的背景，若异物满足有害物体的特征要求，则认为物体有害，自动启动报警装置，如果没有发现有害异物则新摄入的图像将取代前一时间段的图像再进行图像处理。

In this paper, a fast algorithm for gray level image is proposed.

文中提出一种新的适用于灰度图像的快速求矩算法。

Theoretical analysis and experimental result show that this torque control method is feasible and practical.

理论分析和实验结果均表明该转矩控制方法具有较高的可行性和实用性。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。