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模型预测与设计估计能够协调到何种程度？AI 解读

Two general linear model-based predictors, one of the expectation of a finite population total and one of that total itself, are compared with the design-based generalized regression estimator (GRE). First, the predictors are made to conform to the GRE by modifying the regression parameter estimators but retaining the same (optimal) inclusion probabilities. Second, the GRE is made to conform with each of the predictors in turn by modifying the inclusion probabilities but…

大规模调查的一类稳健抽样设计AI 解读

A combined estimation and selection scheme is proposed for use in the context of large-scale enterprise and establishment surveys. The estimator is asymptotically design unbiased and subject to this constraint has minimum expected variance under a superpopulation model. The main advantage of this scheme over current practice is the removal of the need for size stratification. The relation of both the current and the proposed schemes to the Royall and Hereon (1973a,b)…

有限总体抽样与稳健估计AI 解读

The work of Royall and Herson (1973a, 1973b), ensuring the robustness of the standard ratio estimator against polynomial superpopulation models by choosing balanced samples, is extended to a more general regression estimator. The requirement for robustness is then a relationship between the moments of the sample units and those of the remainder of the population which may be achieved approximately by unequal probability sampling.

Durbin 的新多阶段抽样方差估计量AI 解读

Summary A new variance estimator was suggested implicitly by Durbin (1967), for use in a particular multistage sampling procedure. The suggestion can easily be extended to cover the general case in which selection at the first stage is without replacement (the probabilities of inclusion in sample being arbitrary) and in which unbiased estimators are used at all stages of sampling. As compared with the earlier Durbin multistage variance estimator, the new estimator has this…

关于 Fellegi 不放回规模比例抽样方法的札记AI 解读

In 1963 Fellegi proposed a new method of sampling without replacement with probability proportional to size, which allowed for rotation of the sample (within certain limits) simultaneously with the exact calculation of joint probabilities of selection of sets of units. Fellegi was able to show that for samples of size two units his equations always yielded a solution, provided that the largest of the population units did not exceed one third of the size of the whole…

In 1963 Fellegi proposed a new method of sampling without replacement with probability proportional to size, which allowed for rotation of the sample (within certain limits) simultaneously with the exact calculation of joint probabilities of selection of sets of units. Fellegi was able to show that for samples of size two units his equations always yielded a solution, provided that the largest of the population units did not exceed one third of the size of the whole…