Linear model is a kind of important model in statistics.The estimation and prediction of unknown parameters in the model is a basic problem in statistical inference.According to different evaluation criteria,different...Linear model is a kind of important model in statistics.The estimation and prediction of unknown parameters in the model is a basic problem in statistical inference.According to different evaluation criteria,different forms of predictors are obtained.The simple projection prediction(SPP)boasts simple form while the best linear unbiased prediction(BLUP)enjoys very excellent properties.Naturally,the relationship between the two predictors are considered.We give the necessary and sufficient conditions for the equality of SPP and BLUP.Finally,we study the robustness of SPP and BLUP with respect to covariance matrix and illustrate the application of equivalence conditions by use of error uniform correlation models.展开更多
文摘Linear model is a kind of important model in statistics.The estimation and prediction of unknown parameters in the model is a basic problem in statistical inference.According to different evaluation criteria,different forms of predictors are obtained.The simple projection prediction(SPP)boasts simple form while the best linear unbiased prediction(BLUP)enjoys very excellent properties.Naturally,the relationship between the two predictors are considered.We give the necessary and sufficient conditions for the equality of SPP and BLUP.Finally,we study the robustness of SPP and BLUP with respect to covariance matrix and illustrate the application of equivalence conditions by use of error uniform correlation models.
