参数估计

First,much basic knowledge is introduced.Then,it importantly introduces my perspective : in this paper the estimations of the parameters and coefficient of contamination for the simple regression model and studied when its response variables are contaminated by another random variable sequence it discusses that the interval estimation of posterior confidence probability of parameters on coefficient of contamination by using the method of Bayes inference.

首先介绍了一些基础知识，然后重点介绍了我所做的工作：讨论简单回归模型中响应变量受到另一随机变量序列污染时，模型参数和污染系数的估计方法。

For the aforesaid reasons, in the second chapter ,this article estimates some parameters in the two-parameters Weibull distribution by the hybrid ALT method,and gives the inverse moment estimator for the shape parameter,at the same time the confidence interval of the accelerated coefficient is given .

基本研究问题：设应力水平V下产品的寿命服从两参数威布尔分布，则在混合应力加速寿命试验下产品寿命T的分布函数为：记T/t_0=X则X的分布函数为其中令λ=θ~m由上式得λ的极大似然估计又由(2.2.1)式知，是来自均值为λ的指数分布的次序统计量记则有又由引理2.2.1，若又、r，长，乞=1，2，…，n，则有(1)2 。。

In statistics, a confidence interval is an interval estimate of a population parameter.

在统计学里，置信区间指的是对于某一群体参数的区间估计。

When using restricted maximum likelihood for parameter estimation, we need to get the minimum of a function. But if the expression of the function is complicated, it is difficult to obtain the derivatives of the function. We introduced conjugate direction method which avoided the derivatives.

在用限制极大似然法估计参数时，需解决函数的极小化问题，而当函数的表达式较为复杂时，将难以获得其偏导数，本文给出的共轭方向法，避开了求导问题。

First, a non-parametric density estimate method based on kernel function is adopted to estimate the statistic distribution of the SAR images, and then, the SAR images is segmented with Markovian contexture by maximizing a MAP estimator, taking the former estimation as its likelihood term.

该算法首先采用基于核函数的非参数方法估计SAR图像的统计分布，然后将此统计量作为图像分割的似然函数，利用马尔可夫上下文约束进行SAR图像分割。

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

In accordance with discrete, non-symmetry and time-delay feedback neural networks, we provide some theoretical criteria to judge the stability for designing the networks. On continuous feedback networks, we built an algorithm to estimate the convergence region. On the HNN feedback networks, an effective optimization algorithm based on the annealing strategy and the chaotic neural network is presented, and some disciplinary conclusions are provided to guide the selection of parameters. Simulation results on benchmark problems demonstrate that the performances of our algorithm are distinctly superior to those of the classic HNN based on gradient descend and stochastic optimization methods based on probabilistic distribution.

针对离散、非对称和时延等三种类型的动态反馈网络，给出了可用于网络设计的稳定性判别准则；针对连续动态反馈网络，建立了其收敛域估计的一个算法；针对以HNN模型描述的动态反馈网络，基于退火策略和混沌神经网络提出了一种高效的优化算法，建立了可用于指导参数选择的一些规律性结论，对典型算例的仿真研究显示，改进算法在各类性能上相对基于梯度下降的传统HNN模型和基于概率分布的随机优化算法，具有明显的优越性。

A human model using polynomial convolution surface is presented which is modeled by articulated skeletons convolved with some kernel function. The convolution surface and curve correspondence theorem under orthogonal projection is presented. The human contour is approximated with a convolution curve and 3D human pose can be estimated using a nonlinear optimization algorithm.

首先建立了一种新颖的多项式密度卷积曲面人体模型，该模型由连接体线骨架与某种卷积核卷积而成，整个曲面是一张连续曲面，调节多项式和半径参数可以让人体任意变形；给出了正交投影下卷积曲面和曲线对应的概念和相关定理，为二维的图像轮廓和三维人体模型之间建立对应关系；根据正交投影下卷积曲面与曲线对应定理，用卷积曲线去逼近人体的图像轮廓曲线，从而估计和恢复出三维人体运动姿态。

The role of statistical inference is to estimate the best parameter values or constants in an assumed cost function.

的作用，统计推断是估计的最佳参数值或常数的假设成本函数。

Considering that the covariance function could not exist in some conditions, we put forward the idea of using the variogram function as a substitute for the covariance function and prove their equivalence.

考虑到在某些情况下协方差函数可能不存在，因此考虑用变异函数来代替协方差函数估计径向基核函数的宽度参数。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新