加权函数

Under weighted squared error loss, it is showed that a least favorable prior, when estimators are restricted to be polynomials of X with degree no more than k, exists and has at most (k+2)-point support, and its Bayes solution, under above restriction, is a k/sup th/ polynomial minimax estimator.

是观测值X的期望值，在X的多项式函数中，於加权平方误差损失之下，本文考虑使其最大风险最小化的多项式大中取小估计式。

Decision rule chain and distance function of decision rule are proposed, by which the order of decision rules are explained. The group scale's effect on decision quality and the marginal contribution of decision-makers are analyzed. It's pointed out that the increase of the scale will enhance the decision quality with the optimal decision rule applied. Otherwise it is likely to weaken the decision quality. It's proved that for homogeneous group with simple majority rule applied the marginal contribution of decision-maker will decrease while the scale increases or the decisional competencies of other decision-makers increase; 3.We study the group decision-making with a leader in it. It's proved that the existence of the leader impairs the decision quality when the group applies the optimal decision rule.

研究了决策者的决策能力不确定情况下的群体决策，给出了最优决策规则，指出其仍然是广义加权多数规则；提出了决策规则链和决策规则距离函数的概念，利用这些概念解释了群体决策规则的序现象；分析了群体规模对决策质量的影响、决策者决策能力的边际贡献，指出当群体应用最优规则时，群体规模的增大会提高决策质量，否则群体规模的增大可能会削弱决策质量；证明了对于应用简单多数规则的同质群体，随着其规模的增大，决策者决策能力对决策质量的边际贡献会减小；随着其他决策者决策能力的提高，决策者决策能力对决策质量的边际贡献也会减小； 3。

When seismic wavelet is in non-minimum phase , we can make it have smaller phase by doing exponential weighting . As for nonwhite noise problem of reflection coefficient , we may employ logarithmic power spectrum to estimate the autocorrelation function of seismic wavelet , then obtain seismic wavelet and deconvolution opera .

当地震子波为非最小相位时，可利用指数加权方法使之小相位化；对于反射系数非白噪声问题，本文提出利用对数功率谱来估算地震子波的自相关函数进而求取地震子波以及反褶积算子的方法；对于理想的期望子波，本文采用"宽带雷克子波"作为期望输出子波。

VQ is easy and tend to realize, HMM can comminute the speech dynamically, it can embody not only the dynamic characteristic but also the stationary characteristic of the speech. GMM is a special HMM, it uses combination of many weighted Gaussian density function to approach the distributing density of speaker characteristic vector in characteristic space, so it is also a good way.

VQ方法是最简单又易于实现，HMM方法能将语音动态分割，既能体现语音的动态特征，又能体现语音的平稳特性，GMM用多个加权高斯密度函数的组合来逼近说话人特征矢量在特征空间的分布密度，收到了较好的结果。

There are mainly four innovations made in this thesis: By introducing the notion"collectively compact operator sequence"into the study of composition operators, we give a sufficient and necessary condition on generalized Nevanlinna counting functions of the inducing maps for {C〓} to be collectively compact, extend some previous results and enrich the content of the study of composition operators.

本文主要在以下几个方面有所创新：第一，把逼近论中的算子序列总体紧性的概念引入到复合算子理论的研究中来，并通过值分布理论中的广义Nevanlinna计数函数给出了Hardy空间与加权Bergman空间之间的复合算子序列的总体紧性的刻画，从而推广了Shapiro的结果，丰富了复合算子理论的内容。

An sufficient and necessary condition on generalized Nevanlinna counting functions of the inducing maps is shown to characterize the collective compactness of composition operator sequence.

我们用诱导映射的Nevanlinna计数函数给出了Hardy空间与加权Bergman空间之间的复合算子序列为总体紧算子序列的一个充分必要条件。

Experimental results show the recognition rate of the method is 95%for a known expresser and 72% for a novel expresser. Aiming at the shortcomings of optical flow technique,two improved optical flow algorithms are presented.One way is to introduce forward and backword constraint eqution and Hessian matrix of optical flow equation is computed.The well- posedness of each point of local neighbourhood is examined and the weight of Lucas-Kanade's method is defined as the reciprocal of the conditioning number of its Hessian Matrix.

3针对传统光流法的缺点，分别提出了两种不同的改进方法：其一为引入前向-后向光流方程，计算其Hessian矩阵，把Hessian矩阵条件数的倒数作为Lucas-Kanade光流法的加权阵，可有效消除局部邻域中不可靠约束点，同时提高基本约束方程解的稳定性；其二为针对传统光流法只适用于刚体运动的特点，在扩展约束光流方程的基础上引入了div-curl样条函数作为扩展光流约束方程的附加约束条件，给出了一阶和二阶div-curl样条约束下光流的数值解。

The confidence of each region of target image is calculated according to its discriminative power between the tracking target and local background, and the target and candidate models are characterized by LBP feature probability density function weighted by region confidence and distance.

根据目标各区域对背景的区分能力不同，提出了目标各区域置信度的评价方法，用基于区域置信度及空间距离核加权的LBP特征概率密度函数，构造了目标及候选目标的特征模型。

In the third chapter, we study the approximation and weighted approximation for a kind of generalized Baskakov operators of two-variable. Using different weight functions, we discuss the convergence on weighted space of polynomials and rate of convergence with Jacobi weight for this kind of two-dimensional product-type operators, which extends the results of one-dimensional operators.

第三章研究一类二元广义Baskakov算子的逼近及其加权逼近，主要针对于不同的权函数讨论了这类乘积型的二元算子及其导数在多项式权空间上的收敛性和加Jacobi权的收敛阶，把一元的结果推广到多元的情形。

The proposed method first employs covariance matrix tapers to obtain the interference covariance function and its corresponding spatial spectrum in non-ideal scenarios.

该方法首先利用协方差矩阵加权得到非理想情况下的干扰协方差函数和对应的空间谱，然后根据周期延拓后的干扰空间谱估计干扰自由度。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。