Bayesian Estimation And Experimental Design Of The Linear Model With Random Constrains

This paper studies the parameter estimation and experimental design issues of the linear model with random constrains. This paper first introduces the background of the linear model with random constrains and the current situation of this research at home and abroad. Then, in the second chapter,several parameter estimation methods proposed for the linear model with random constrains. And use the random simulation method examines the effectiveness of their estimation. In the third chapter, for the parameter estimation methods of the linear model with random constrains, to be interested in pa-rameter estimation and prediction separately, experimental design is supplied. In the forth chapter, some reaserch is done about parameter estimation and experimental design.Using random additional information, the linear model and general block linear model with random constrains is studied about parameter estimation and experimental design in order to achieve the purpose of improving the efficiency of statistical inference.