We first state general linear model, ridge-type estimator and general ridge-type estimator, and the constraint biased estimator. And then, we introduce some basic theory about matrix and some conclusion about the admissibility of estimator in Gauss-Markov model. In the third chapter, we discussion several equivalent characterization of the best linear unbiased estimation, we proved that admissible characterization of admissible of linear estimation is as conditional general ridge-type estimation in general linear model. A necessary and sufficient condition that homogeneous linear estimator is admissible estimator is obtained.

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And then some ellipses that AUGR estimator is better than the OLS estimator and AUGL estimator is better than the OLS estimator are given, respectively.Second, the definition of the almost unbiased unified biased estimator is proposed. This definition includes the familiar almost unbiased estimators in literatures, and it is the unified expression of the familiar almost unbiased estimators. Followed the biased and variance are compared of AUUB estimator and the unified biased estimator, respectively. AUUB estimator has smaller bias than UB estimator and the variance of AUUB estimator is between the variance of UB estimator and 4 times of the variance of UB estimator. Finally the properties of AUUB estimator are discussed. The conclusion is gained that there are parameters made AUUB estimator is better than OLS estimator in terms of their mean square error. The sufficient and necessary condition that AUUB estimator is admissible is given. The ellipse is given that AUUB estimator is

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If Wn is an unbiased estimator ofθand Var → 0 as n→∞, then plim=θ.

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These conditions do not relate to the unknown parameters but the dimension of model, so it is easy to apply in practice. Next, we consider the relative efficiency of LSE against the beast linear unbiased estimator.

我們給出了Pitman準(zhǔn)則下，最小二乘估計優(yōu)于Within估計的一個充分條件99ri视频一区二区三区，最后又得到了廣義均方誤差意義下兩步估計一致的優(yōu)于Between估計和Within估計的充分條件欧洲熟妇XXXXX老妇，并且這些條件只是和模型維數(shù)有關(guān)而和未知參數(shù)無關(guān)的一些不等式關(guān)系，因此便于實際應(yīng)用亚洲第一视频网。

In parameter estimation, the Minimum Variance Unbiased Estimator of a parameter θ can be characterized by sufficient statistics and the Rao-Blackwell Theorem.

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The results indicate that if all the investors all full rational,the equilibrium price,whether using close call auction or open call auction,is the unbiased estimator of the risky assets true value.

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The clone programming algorithm has the superior capability in local and global search, and local minimums are refrained efficiently; cross validation has the unbiased estimator property, and therefore, the problems such as over training or insufficient training are avoided.

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This paper researches the improvement of the vector of unknown parameter α and the vector of random-effect parameter β, including GLSE and LSE in some conditions, discusses the relevant properties of parameter's estimation, and explains the thought of using its unbiased estimator replaced when the variance is unknown.

本文研究了未知參數(shù)向量a和隨機系數(shù)β的參數(shù)估計的改進，包括在一定條件下的GLSE和LSE日本人人操人人摸在线，并討論了參數(shù)估計的有關(guān)性質(zhì)及說明了在方差未知時亚洲图片综合，用其無偏估計代替的思想。

Necessary and sufficient conditions for equalities between a 2 y′y and minimum norm quadratic unbiased estimator of variance under the general linear model, where a 2 is a known positive number, are derived.

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In this paper,the author analyzes the shortcomings of the traditional method of the sta-tistical treatment of radar data for the accuracy evaluation by flying and derives an unbiased estimator s and its accuracy estimating formula of standard deviation σunder the limited distribution startig from Bessel s formula.

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