无偏估计量

本文把双重抽样技术用于PPS抽样，给出了该方法下总体总值的无偏估计量，估计量的方差及方差的无偏估计公式。

In this paper the method of double sampling is applied to PPS Sampling . We present a unbiased estimator of population total in the method and discuss the variance of the estimator and unbiased estimator of the variance .

应用这些公式计算了方差分量模型中方差分量最小范数二次无偏估计量的方差、协方差。

Appling these formulas the variance and covariance of the minimum norm quadratic unbiased estimator of the variance components is computed .

基于Logistic分布的若干个样本分位数，利用线性回归模型建立Logistic分布位置参数及尺度参数的渐近正态且渐近无偏估计量，得到分布参数的渐近置信估计。

The asymptotic normal and asymptotic unbiased estimation of location parameter and scale parameter is proposed by linear regression model , based on k p i-th quantiles of Logistic distribution simple sample . Then the asymptotic confidence estimation of the parameter is given for Logistic distribution .

当高斯－马尔科夫假定成立时，我们不需要再去找其它无偏估计量了。

When Gauss-Markov assumptions hold , we need not look for alternative unbiased estimators .

本文指出线性化后的曲线拟合参数不是无偏估计量。

This paper points out that the linearized curve-fitting parameters are not unbiased estimations .

对解算公式，无偏估计量，坐标转换等进行了推证。

The calculating formulas , unbiased estimation values , coordinate transformation etc are derived .

计数和计量&兼论名量词的功能类别渐近正态无偏估计量

Enumerative Units and Quantity Scales : Discussing the Functional Types of Noun-Quantifiers ; asymptotically normal and unbiased estimator

利用参数的最佳线性无偏估计量及最佳线性不变估计量，估计出可靠度的近似置信下限。

The approximate lower confidence bound for the reliability of the component is obtained by using Best Linear Unbiased Estimate and Best Linear Invariant Estimate for parameters .

研究结论表明，若所有的投资者都是理性的，无论采用封闭式集合竞价还是开放式集合竞价，那么均衡价格均是风险资产真实价值的无偏估计量。

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 .

核心研究内容有两个：其一是模型参数的经典统计学估计方法，主要包括极大似然估计量、最小二乘估计量及其加权形式的估计量、线性无偏估计量和最小范数估计量。

There are two main research contents ; one is the classical statistical estimation method for model parameter , such as maximum likelihood estimator , least square estimator and its weighted form , linear unbiased estimator and minimum norm estimator .

本文给出了两阶抽样中总体均值的比率型估计量的平均精度，它当样本容量充分大时主项不劣于无偏估计量的平均精度。

In this paper , the authors give the mean precision of the ratio-type estimator for the population mean in the two-stage sampling , whose major term for large sample size is not worse than the mean precision of the unbiased estimator .

由于在对混凝土工业厂房的检测中，所获得的碳化深度样本一般是小样本，采用了适于小样本的一致最小方差无偏估计量来作为混凝土工业厂房碳化深度的点估计量。

Because the samples of damage depth achieved in testing industrial concrete mill buildings are generally small ones , therefore uniformly minimum variance unbiased estimators suitable to small samples are adopted as point estimators of damage depth of industrial concrete mill buildings .

据此，可以估计矿床中每一块段的克立格估值Zv，该估值是具最小估计方差的无偏线性估计量。

The kriging estimator Zv of each block of a deposit can be estimated . Kriging estimator is the unbiased linear estimator with minimum estimation variance .

在此基础上数学界将实际工作中各种可能始点的抽样方法赋予理性思考、研究，获得结论：无限制抽样和简单随机抽样条件下样本方差是总体方差的无偏估计量。

On this basis , Mathematics circle give rational thinking and study of different sample methods In the real work and obtain the conclusion : The variance of the sample is that population variance has no estimator of leaning towards in sampling unrestrictedly and Simple random sampling .