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Parent-Offspring and Sibling Correlation Estimation Based on MINQUE Theory

基于 MINQUE 理论的亲子与同胞相关估计

We derive easily computable expressions for MINQUE estimators of covariance parameters in an unbalanced family data structure used to study traits. These estimators are strongly consistent and asymptotically normal. Simple expressions for limiting sample variances and covariances of MINQUE estimators are provided.

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Parent-offspring and sibling correlation estimation based on MINQUE theory

基于 MINQUE 理论的亲子与同胞相关估计

We derive easily computable expressions for MINQUE estimators of covariance parameters in an unbalanced family data structure used to study traits. These estimators are strongly consistent and asymptotically normal. Simple expressions for limiting sample variances and covariances of MINQUE estimators are provided.

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“Optimal” Estimation of Correlated Response Variance under Additive Models

加性模型下相关响应方差的“最优”估计

Additive models are often employed to measure the impact of response errors on the accuracy of survey estimates. An important feature of these models is that the correlated errors from specified error sources, such as interviewers and coders, contribute additive components, called correlated response variance (CRV) components, to the total variance of a survey estimator. As a result of these correlated components, the usual estimators of variance of a mean or a total are…

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The Existence of Asymptotically Unbiased Nonnegative Quadratic Estimates of Variance Components in ANOVA Models

ANOVA 模型中渐近无偏非负二次方差分量估计的存在性

Conditions for the existence of asymptotically unbiased, nonnegative quadratic estimates of individual variance components in general ANOVA models are investigated. A simple necessary condition for general models is obtained. Necessary and sufficient conditions are obtained in the case of random, balanced nested classification models and the random unbalanced one-way model. The investigation demonstrates the need for exercising caution when employing nonnegative quadratic…

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