Study On The Unbiased Estimators Of Regression Coeffieientsin The Linear Model

This paper studied the improved forms of ridge estimator in growth gurveand mixed linear model,almost unbiased ridge estimator and generalized ridgeestimator,discusses its superiorities.The paper is divided into four chapters.In thefirst chapter,the development situation of unbiased estimator in linearmodel,especially the generalized ridge estimator and generalized liu estimator. Inthe second chapter,we give the definitions of ridge estimatora and generalizedridge estimator in two kinds of models.In the third chapter,we studies the almostunbiased ridge estimator in growth gurve model and its property under the meansquare error matrix(MSEM) criterion opposite to ridge estimator and an dataexample is given,we also discuss the property of generalized estimator and atype of unbiased ridge estimator.Finally,the fourth chapter researches theproperty of two kinds of almost unbiased ridge estimators opposite to relativedleast square estimators in mixed linear model.