混合系数线性模型参数的t-s-K估计

摘要

Mixed-effect coefficient linear model has a wide range of application background in practical problems,such as economic analysis,reliability degradation analysis and biology.Thus the study of the model is very important and necessary in theoretical and practical fields.In the paper,we consider a mixed-effect coefficient linear model with the repeatedly measured data.Using the shrunken method,a new biased estimator of the model are given.Under certain conditions,the new estimators are shown to be superior to the s-K estimators,respectively.%混合系数线性模型在实际问题中有着广泛的应用背景,如经济分析、可靠性退化分析以及生物学等领域,因此对该模型的研究无论从理论还是从应用角度都是十分重要和必要的.在研究连续测量数据情况下混合系数线性模型的参数估计问题的基础上,利用压缩估计方法给出该模型的一类有偏估计,并研究新估计的一些优良性质,在一定条件下证明此类估计优于s-K估计.