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Evaluation of Procedures for Improving Population Estimates for Small Areas

改进小区域人口估计程序的评价

"We provide and illustrate methods for evaluating across-the-board ratio estimation and synthetic estimation, two techniques that might be used for improving population estimates for small areas. The methods emphasize determination of a break-even accuracy of knowledge concerning externally obtained population totals, which marks the point at which improvement occurs." The techniques are illustrated using 1980 U.S. census data.

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Evaluation of Procedures for Improving Population Estimates for Small Areas

改进小区域人口估计方法的评估

We provide and illustrate methods for evaluating across-the-board ratio estimation and synthetic estimation, two techniques that might be used for improving population estimates for small areas. The methods emphasize determination of a break-even accuracy of knowledge concerning externally obtained population totals, which marks the point at which improvement occurs.

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Introduction to Variance Estimation.

方差估计导论

The Method of Random Groups.- Variance Estimation Based on Balanced Half-Samples.- The Jackknife Method.- The Bootstrap Method.- Taylor Series Methods.- Generalized Variance Functions.- Variance Estimation for Systematic Sampling.- Summary of Methods for Complex Surveys.- Hadamard Matrices.- Asymptotic Theory of Variance Estimators.- Transformations.- The Effect of Measurement Errors on Variance Estimation.- Computer Software for Variance Estimation.- The Effect of…

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An Investigation of Some Estimators of Variance for Systematic Sampling

系统抽样中若干方差估计量的考察

This article provides to the survey practitioner some guidance about the problem of variance estimation for equal probability single-start systematic samples. An investigation of eight alternative estimators of the variance of the sample mean is presented. In the first half of the investigation, the theoretical properties of the estimators are compared using several superpopulation models; in the second half, the comparison is empirical, based on several real populations.…

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Estimation of Nonlinear Errors-in-Variables Models

非线性变量测量误差模型的估计

An estimation procedure is presented for the coefficients of the nonlinear functional relation, where observations are subject to measurement error. The distributional properties of the estimators are derived, and a consistent estimator of the covariance matrix is given. In deriving the results it is assumed that the covariance matrix of the observational errors is known and that this covariance matrix is $o(n^{-1/3})$, where $n$ is the index of the sequence of estimators.

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Estimation of the quadratic errors-in-variables model

二次变量测量误差模型的估计

An estimator is presented for the coefficients of the quadratic functional relationship. The estimator is shown to be asymptotically normally distributed as the sample size increases. In deriving this result it is not assumed that replication occurs. A Monte Carlo study is presented agreeing well with the asymptotic results. An example from the earth sciences is analysed.

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Composite Estimation in Finite Populations

有限总体中的复合估计

It is common practice in large recurring surveys to employ rotation sampling schemes. Composite estimators are often used in association with rotation schemes to reduce the variability of the survey estimators. In this article, expressions for the variances of certain composite estimators are derived. It is demonstrated how the variance expressions may be used in planning panel surveys and in certain time series analyses. This work is illustrated by the Census Bureau's…

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Composite Estimation in Finite Populations

It is common practice in large recurring surveys to employ rotation sampling schemes. Composite estimators are often used in association with rotation schemes to reduce the variability of the survey estimators. In this article, expressions for the variances of certain composite estimators are derived. It is demonstrated how the variance expressions may be used in planning panel surveys and in certain time series analyses. This work is illustrated by the Census Bureau's…

阅读原文 ↗BibTeX ↓