Some Posterior Distributions Of Parameters In Normal Linear Model And Their Sampling Method Under Counter X~2 Distribution

When the parameters in normal linear model have counterχ~2 distribution,this paper gives the joint posterior distributions of the regression coffecient and error variance,and gives their marginal posterior distributions. Specially, the posterior distributions of a quadric form about the regression coefficient in the linear model is obtained.According to the joint posterior distributions of the regression coefficient and error variance,we propose a sampling method for the joint posterior distributions.