查询词典 consistent estimator

There are two findings summarized from previous studies:(1) the least squares estimator is a common choice of researchers, but under an unequal probability design, the estimator is biased,(2) the probability weighted estimator is consistent but may have a large variance.

过去的研究发现：(1)在不等机率抽样时，一般常用的最小平方法所得到的回归参数估计式并非不偏估计式；(2)机率加权最小平方法可以改善不偏性，然却增加估计的变异程度。

To prove that OLS estimators are asymptotically efficient, one needs to (1) present an estimator that is consistent but its variance is larger.

为了证明OLS估计量是渐近有效的，我们需要(1)给出一致的估计量但证明它有更大的方差。

Large confidence intervals is a price we must pay to get a consistent estimator of the return to education when we think educ is endogenous.

如果我们认为教育是内生的，而且想要得到一致的估计，过宽的置信区间将是我们所要付出的代价。

In this paper,we introduce the consistent adjusted least squares estimator and propose a relaxed consistent adjusted least squares method,which can be applied to more general relationship,for registration.

但是，如果由于不确定因素的影响，使得不能获得两幅影像的精确配准，那么同一位置上不同时间的特征差别将会被不同位置上的特征差别所代替[3]。

The null hypothesis is that the efficient estimator is a consistent and efficient estimator of the true parameters.

2， 如果上述理论逻辑通的话，将内生变量 X 作为解释变量， IV 和其他变量（ X2）作为解释变量，看 IV 是否显著，它应该显著。

Obtain an estimator that is consistent whether or not the hypothesis is true

看一下 P 值，如果 P 小于比如说0.1，或者0.05，那么，说明 IV 回归与原来的回归显著不同，原来的方程的确有内生性问题导致的估计偏误。

After a power spectrum is constructed, empirical wavelet coefficients are used to detect the jump points in the function to obtain the strong consistent estimator of the position and number of the frequencies. Numerical simulations show this method is reliable.

根据它们的协方差函数可以表示为一个Fourier级数，而其Fourier系数可通过协方差函数的逆变换得到的特性，我们对于零均值的近周期相关序列构造了类似于周期图的函数，并构造其经验小波系数，利用频率处于此函数的尖点的特性，以及此性质在经验小波系数中的反映，来确定频率的个数和位置，所有的估计量都是强相合的，此外，数值模拟的结果表明，我们的方法是有效的。

The convergence of them is proved, i.e if the parameters estimation is consistent, then self-tuning fusion estimator will converge to the optimal fusion estimator with known model parameters and noise statistics, and the accuracy of self-tuning fusion estimator is higher than that of each local self-tuning estimator.

证明了它们的收敛性，即若ARMA新息模型的参数估计是一致的，则自校正信息融合Wiener估值器将收敛于当模型参数和噪声方差己知时的最优信息融合Wiener估值器，且自校正信息融合Wiener估值器的精度高于每个局部自校正Wiener估值器。

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 the first charpter,response variable is generalized to q dimensions, we propose the concept of QMLE and quasi function in nonlinear models, then under mild conditions, we prove that there exists the solution_n with probability 1 for sufficiently large n, and obtain the strong consistency, some results of asymptotic normality, meanwhile consistent estimator of σ~2 for QMLE for heterosedastic nonlinear models is presented.

在第一章中，我们首先将响应变量由一维推广到了多维，得出了非线性模型的极大拟似然估计的定义和拟似然方程，然后在一定的条件下，证明了当样本量n充分大时，拟似然方程以概率1有解？？_n且收敛于参数的真值(即定理1.2)，并且给出了极大拟似然估计的渐近正态性(即定理1.3，1.4)，最后考虑了异方差非线性模型的离差参数σ~2的相合估计(即定理1.5)。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。