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利用调查数据估计方差分量AI 解读

Summary Inflation-type weighted estimators for variance components can be badly biased. Modified weighted estimators suggested in the literature are also badly biased for certain sampling designs. We propose new estimators for variance components, some of which are approximately unbiased regardless of the sampling design. These estimators require knowledge of the joint inclusion probabilities of the observations. The small sample properties of the estimators are studied via…

复杂调查数据的假设检验：经典二次型统计量及回归应用AI 解读

Sample surveys often have complex sample designs with multistage cluster sampling, stratification, and differential selection probabilities. This article is concerned with testing the null hypothesis H 0: θ = θ, where the p-dimensional parameter θ = g( μ ) and μ is a q-dimensional vector of means. The asymptotic framework that consists of a sequence of increasing finite populations is used to define μ as the limit of finite population means. As part of the inference, we use…

复杂调查数据的假设检验：经典二次型统计量及回归应用AI 解读

Sample surveys often have complex sample designs with multistage cluster sampling, stratification, and differential selection probabilities. This article is concerned with testing the null hypothesis H 0: θ = θ, where the p-dimensional parameter θ = g( μ ) and μ is a q-dimensional vector of means. The asymptotic framework that consists of a sequence of increasing finite populations is used to define μ as the limit of finite population means. As part of the inference, we use…

分层样本中线性化、刀切法与平衡重复复制方法的大样本性质札记AI 解读

Krewski and Rao consider inference for a (nonlinear) function of a vector of finite population means $\theta = g(\bar{Y}).$ For a sequence of finite populations with increasing number of strata, they demonstrate that $\hat{\theta} = g(\bar{y})$ is asymptotically normal, where $\bar{y}$ is the usual unbiased stratified estimator of $\bar{Y}.$ Additionally, they demonstrate that $(\hat{\theta} - \theta)/\upsilon^{1/2}(\hat{\theta})$ is asymptotically a standard normal…