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后分层与条件方差估计AI 解读

Poststratification estimation is a technique used in sample surveys to improve efficiency of estimators. Survey weights are adjusted to force the estimated numbers of units in each of a set of estimation cells to be equal to known population totals. The resulting weights are then used in forming estimates of means or totals of variables collected in the survey. For example, in a household survey the estimation cells may be based on age/race/sex categories of individuals, and…

轮换面板两阶段抽样下的价格指数方差估计AI 解读

Price index estimation is often based on complex rotating panel surveys. At each period, a time series of data is available for use in estimation. This paper examines how best to combine data for estimation of long-term and short-term changes and how to estimate the variances of the estimators in the context of two-stage sampling. Linearization estimators of variance for indexes of long- and short-term change are derived. The theory is supported by a simulation study using…

一类拉氏价格指数的乘法估计量AI 解读

Publication of indexes measuring changes in prices of retail, wholesale, export, and import items is an important part of many governmental statistics programs. One form of price index that is often used is the fixed-base Laspeyres, in which a fixed market basket of goods is priced over time. This article introduces a new class of multiplicative estimators of Laspeyres indexes. The optimum within the class is derived for long-term price change and compared with two other…

有限总体抽样预测法下的拉氏价格指数估计AI 解读

Estimators of chain and fixed-base Laspeyres price indexes are studied using the prediction approach to finite population sampling. The estimators include some that are based on those used in several U.S. government index programs and others derived from prediction models. Biases and variances of the estimators are studied for a case in which the reference period index weights are unknown for nonsample items. Under a model for a one-period price change in which items have…

单阶段抽样中平衡半样本方差估计量的若干预测性质AI 解读

SUMMARY The balanced half-sample (BHS) method of variance estimation is a widely used technique in complex sample surveys. Large-sample prediction properties of the BHS method are given here for the separate ratio and regression estimators. Results are obtained when a large number of units are sampled and divided into two groups within each stratum. An empirical study examines the conditional and unconditional performance of the BHS method when estimating mean squared errors…

分层两阶段抽样中的广义方差函数AI 解读

Generalized variance functions (GVF's) are used in a number of sample surveys as a convenient method of publishing sampling errors. The method consists of estimating the relative variance (relvariance) of an estimator of a total T by using a model with the form a + b/T. Using the prediction approach to finite population sampling, some asymptotic theory is presented for estimators of totals that are linear combinations of sample cluster means from stratified, two-stage…

分层抽样中若干估计量的条件性质AI 解读

The prediction properties of the stratified expansion estimator, the separate and combined ratio estimators, and the separate and combined regression estimators are studied under a model appropriate to a population stratified on a size variable. Several estimators of variance for each total estimator are considered, including standard ones from probability sampling theory, alternative choices derived from a superpopulation model, and the jackknife. The theory is tested in an…

分层抽样中若干估计量的条件性质AI 解读

The prediction properties of the stratified expansion estimator, the separate and combined ratio estimators, and the separate and combined regression estimators are studied under a model appropriate to a population stratified on a size variable. Several estimators of variance for each total estimator are considered, including standard ones from probability sampling theory, alternative choices derived from a superpopulation model, and the jackknife. The theory is tested in an…

分层两阶段抽样中的广义方差函数AI 解读

Generalized variance functions (GVF's) are used in a number of sample surveys as a convenient method of publishing sampling errors. The method consists of estimating the relative variance (relvariance) of an estimator of a total T by using a model with the form a + b/T. Using the prediction approach to finite population sampling, some asymptotic theory is presented for estimators of totals that are linear combinations of sample cluster means from stratified, two-stage…

非线性预测理论与有限总体比例估计AI 解读

The prediction approach to finite population inference is developed for a general nonlinear model. An estimator of the finite population total and an estimator of its variance are derived, and the asymptotic properties of both are obtained when the random variables in the model are independent. The theory is applied to the problem of estimating the total number of units that have a specified characteristic. An empirical study is presented, which confirms that a nonlinear…

非线性预测理论与有限总体比例估计AI 解读

The prediction approach to finite population inference is developed for a general nonlinear model. An estimator of the finite population total and an estimator of its variance are derived, and the asymptotic properties of both are obtained when the random variables in the model are independent. The theory is applied to the problem of estimating the total number of units that have a specified characteristic. An empirical study is presented, which confirms that a nonlinear…