%0 Journal Article %A Ghoreishi, Seyed Kamran %T Empirical estimates for various correlations in longitudinal-dynamic heteroscedastic hierarchical normal models %J Andishe-ye-amari %V 25 %N 2 %U http://andisheyeamari.irstat.ir/article-1-841-en.html %R %D 2021 %K Dynamic models, Heteroscedastic, Hierarchical models, Longitudinal data, Shrinkage estimators, Stein's unbiased estimator., %X In this paper, we first define longitudinal-dynamic heteroscedastic hierarchical normal models. These models can be used to fit longitudinal data in which the dependency structure is constructed through a dynamic model rather than observations. We discuss different methods for estimating the hyper-parameters. Then the corresponding estimates for the hyper-parameter that causes the association in the model will be presented. The comparison among various empirical estimators is illustrated through a simulation study. Finally, we apply our methods to a real dataset. %> http://andisheyeamari.irstat.ir/article-1-841-en.pdf %P 113-120 %& 113 %! %9 Research %L A-10-877-1 %+ %G eng %@ 1026-8944 %[ 2021