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Optimal Experimental Design for Error Components Models

误差成分模型的最优实验设计

Social experiments are characterized by their high cost. A tempting alternative to the establishment of a contemporaneous statistical control group is preexempt observat ion of the treatment group. In this paper, the authors analyze the tr ade-off between these two types of "con-trol" as functions of their relative cost and information content in a multiperiod error compone nts framework, where the allocation of observations across the two gr oups is always done in an…

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Asymptotic Minimum-MSE Prediction in the Cobb-Douglas Model with a Multiplicative Disturbance Term

A nonparametric framework for deriving the asymptotic MSE-optimal predictor for a multiplicative model is presented. The resulting predictor is compared to several known competitors in a limited Monte Carlo experiment. RECENT PAPERS BY Zellner [10] and Teekens and Koerts [7] address themselves to the problem of minimum-MSE prediction in a Cobb-Douglas-type multiplicative model under a lognormal distribution assumption for the disturbance term. Each derives the finite sample…

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Estimation of Pareto's Law from Grouped Observations

利用分组观测估计帕累托定律

The problem of estimating the scale parameter in the Pareto distribution from grouped observations is considered. Several estimators—the maximum likelihood estimator and four variants of least squares—are evaluated. Most of these have identical BAN properties but require nonlinear computations. A linearized BAN estimator is constructed, and numerical illustrations are provided.

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Errors of Measurement and Least Squares Estimation in a Simple Recursive Model of Dynamic Equilibrium

where Yt and Xt are subject to random errors of measurement ut and vt, respectively, with E(u) = E(vt) = 0, E(u2) = u, E(v2) = 2, E(utvt) = , and E(utu')E(vtsv) = 0 for t # t', is applied to a simple system of difference equations. The paper treats two such models, which differ in that one system is specified as deterministic except for measurement error, while the second model includes random in the equations as well. The investigation focuses on the possible consistency of…

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An Estimation Procedure for Range Composition Problems

牧场草本植物重量组成的估计方法

In this article a method is presented which provides an efficient technique for estimating herbage weight composition on range units. The estimator derives from a weighted regression of species weight on species cover, i.e., the proportion of ground area covered by foliage of the species. Use of the present method of estimation in conjunction with a “pin-frame” field sampling procedure results in quite substantial savings in sampling cost for given precision, compared to the…

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An Estimation Procedure for Range Composition Problems

牧场草本植物重量组成的估计方法

In this article a method is presented which provides an efficient technique for estimating herbage weight composition on range units. The estimator derives from a weighted regression of species weight on species cover, i.e., the proportion of ground area covered by foliage of the species. Use of the present method of estimation in conjunction with a “pin-frame” field sampling procedure results in quite substantial savings in sampling cost for given precision, compared to the…

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