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Median Estimation in the Presence of Auxiliary Information

利用辅助信息估计有限总体中位数

SUMMARY This paper deals with the estimation, under simple random sampling, of a finite population median in the presence of an auxiliary variable. An estimator which is a simple modification of the ratio estimator for the mean is studied along with two other proposed estimators derived from a different approach. These estimators are applicable in situations where only the population median or a grouped frequency distribution of the auxiliary variable is known. On the basis…

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A new method for estimating subgroup means under misclassification

误分类下子群均值估计的新方法

This paper considers the estimation of the subgroup means of a response variable when the individuals in a random sample are allocated to the subgroups or classes by a fallible device. A double sampling scheme under which we determine also the true classes of the individuals in a subsample is utilized. A simple distributional-free estimator is proposed and the associated large-sample properties are also derived. The proposed estimator is also demonstrated by simulation…

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Interpretation and Estimation in Ranking Theory

排序理论中的解释与估计

A simple probabilistic interpretation is given to the expected ranks of k objects ordered by randomly generated observers. The result is shown to yield naturally an estimation procedure in a parametric model for the distribution of permutations. The resulting estimators, in contrast to those suggested by previous authors using approximate likelihood, are consistent for the parameters.

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Interpretation and estimation in ranking theory

排序理论中的解释与估计

A simple probabilistic interpretation is given to the expected ranks of k objects ordered by randomly generated observers. The result is shown to yield naturally an estimation procedure in a parametric model for the distribution of permutations. The resulting estimators, in contrast to those suggested by previous authors using approximate likelihood, are consistent for the parameters.

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Heteroscedastic errors in a linear functional relationship

线性函数关系中的异方差误差

SUMMARY We consider the estimation of structural parameters in a multivariate linear functional relationship when the error variances and covariances are not necessarily homogeneous. Estimators are obtained as roots of a system of nonlinear equations and an iterative algorithm is briefly described for finding numerical solutions of the system. Asymptotic properties of the estimators are studied and in particular an estimate of the asymptotic covariance matrix of the…

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Analysis of Familial Data: Linear-Model Approach

家族数据分析:线性模型方法

A linear-model approach is proposed for deriving the maximum likelihood estimates of the mother–sib interclass correlation and other parameters from familial data when the families have unequal numbers of offspring. It leads to an algorithm which involves the maximization of an explicit function of a variable for estimating one parameter and direct substitutions for other parameters. The algorithm is believed to be much simpler and more practical than that proposed by Rosner…

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Analysis of familial data: Linear-model approach

家族数据分析的线性模型方法

A linear-model approach is proposed for deriving the maximum likelihood estimates of the mother–sib interclass correlation and other parameters from familial data when the families have unequal numbers of offspring. It leads to an algorithm which involves the maximization of an explicit function of a variable for estimating one parameter and direct substitutions for other parameters. The algorithm is believed to be much simpler and more practical than that proposed by Rosner…

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Large-sample results in the estimation of a linear transformation

线性变换估计的大样本结果

We obtain the asymptotic covariance matrix of the maximum likelihood estimators of the coefficients in a linear functional relationship between two vector variables observed with error. The matrix cannot be found by the usual method of inverting the information matrix due to the presence of incidental parameters. The joint asymptotic distribution of the estimators is shown to be normal under some mild conditions on the incidental parameters. A consistent estimator of the…

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