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1)  M-estimation
M估计
1.
Research of Adaptively H_∞ Filter Based on M-estimation;
基于M估计的H_∞自适应滤波技术研究
2.
Parameter Identification Based on M-estimation and Iterative Algorithm in the Case of Non-Gaussian Noise;
非高斯噪声下系统参数M估计及其递推算法
3.
Application of M-estimation in medical images registration
M估计在医学图像配准中的应用
2)  M-Estimate
M估计
1.
An Algorithm of Multi-Sensors Weighted Fusion Based on M-Estimate Applied in Single-Point Positioning;
基于M估计的多传感器加权融合法在单点定位中的应用
2.
Multi-Sensor Data Robust Weighted Fusion Algorithm Simulation Based on M-estimate;
基于M估计的多传感器数据稳健加权融合算法仿真
3.
M-estimate Based Kalman Filter with Immunity to Outliers;
基于M估计的抗野值卡尔曼滤波方法
3)  M estimator
M估计
1.
M estimator in linear model for -mixing samples is disscussed.
研究了混合样本线性模型中的M估计,在较弱的矩条件下,获得了M估计是强相合估计的充分条件。
2.
The strong consistency of M estimator of regression parameter in linear model is established, under some suitable sufficient conditions which improves the relevant result of M estimator in linear model.
本文研究线性模型中回归参数M估计的强相合性,给出一些较弱的充分条件。
3.
In this paper, it is disscused the strong consistency of M estimator of regression parametric in linear model for-mixing samples.
研究了混合样本线性模型中回归参数M估计的强相合性,在较弱的矩条件下,获得了M估计是强相合的充分条件,实质性地改进和推广了文[1]定理3。
4)  M-estimator
M估计
1.
Retrieving Method of Differential Optical Absorption Spectroscopy Based on M-estimator Robust Regression
基于稳健回归M估计的差分吸收光谱反演方法(英文)
2.
Under conditions that the innovations have a finite 12th moment,which allows the model to have a unit root,we show that the quasi-maximum likelihood estimator which uses the lognormal distribution as the likelihood is locally consistent and asymptotically normal by the properties of the M-estimator and functional central limit theorem for martingale.
在新息序列具有有限的12阶矩条件下,利用M估计的大样本性质和鞅的泛函中心极限定理,允许模型包含一个单位根的情况下,证明了对数正态分布下的拟极大似然估计是局部相合和渐近正态的,并且对数正态分布的厚尾性也较好地解决了异常值问题。
3.
The strong consistency of M-estimator of the regression coefficient in a nega- tively associated linear model under some mild condition is established,which greatly improves the corresponding results on the moment condition in literatures,respectively by Chen X R, Zhao L C(1996)and Yang Shanchao(2002).
建立了随机误差为NA的线性模型中回归参数β_0的M估计的强相合性的充分条件。
5)  M estimation
M估计
1.
For improving the accuracy, real-time property and reliability in GNSS real time single point navigation and positioning, three algorithms(Least squares estimation, M estimation and robust Kalman filter estimation) based on residual analysis for gross errors in real time observation were analyzed and compared.
在利用卫星导航定位系统进行单点导航定位时,为了进一步提高导航定位的精度、实时性和可靠性,针对实时观测信息中存在粗差问题,基于残差分析理论,比较分析了最小二乘法、M估计、抗差滤波估计方法在GNSS单点导航定位中参数估计问题。
6)  M-estimation
M-估计
1.
Although M-estimation as the object function can be used to solve the problem,its corresponding influence function is determined by the absolute value of gross error and it is a key problem to choose initial parameters.
虽然以M-估计作为目标函数可以解决这个问题,但由于其对应的影响函数由残差绝对值决定,因此如何选择初始参数值成为一个关键问题。
2.
This method is based on M-estimation.
针对存在粗差或异常数据点时,最小二乘定位方法会产生定位错误的情况,本文提出了基于M-估计的稳健标靶球定位方法。
补充资料:Bayes估计量


Bayes估计量
Bayesian estimator

Bayes估计量【Bayesi助始廿ma.件;D自狱.。眨..界..] 用BayeS方法(Bayesian aPProach)由观察值对一未知参数所作的估计.统计问题使用这样的方法时,一般都假定未知参数所0 gR“是一具有给定先验分布7r=武do)的随机变量,决策空间D与集合0重合.且损失L(0,d)表示变量0与估计d的偏离.因此,函数L勿,d)通常假定为有形式L勿,d)=a(e)又(口一d),其中又是误差向量0一d的某个非负函数,若k二1,则常取又勿一d)={0一d}“(“>0).最有用且在数学上最方便的是平方损失函数L(口,d)=}‘一d1’.对这一损失函数,Bayes估计量(Ba卿决策函教(Bavesian dedsion function))占’二亡厂(x)定义为使最小总损失 !;‘p‘二·“,一,‘薯必,“一”‘·’2’〕口‘么,叮‘““,达到的函数,或与之等价,了是使最小条件损失 ,母‘E{[口一占(x)]2+“)达到的函数,由此推出,在平方损失函数的场合,B竹es估计量与后验均值占‘(x)=E勿{x)相等,而Bayesj双险(Bayes risk)为 。‘二,占‘)二E!D矿夕}x)]‘此处O(0}劝是后验分布的方差: o(口{x)二任{{口一E(0{x)12!,、}. 例设二=(x,,,二,戈),这里x,,,二,x。为具正态分布N勿,。’)的独立同分布变量,护己知,而未知参数0有正态分布N扭,铲).因为当x给定时口的后验分布为正态N(拜。,T:一、其中 n又。2一十“下一2 灿。二一—,,。一二n口‘一奋了一_ n口一汁~下且万=(x,十一+凡)/。,可知在平方损失函数{分一引’之下,Bayes估计量为占’(x)=线,而Bayes风险则为《二犷六伽铲十护).AH川畔即撰[补注]
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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