t-type Bayesian Estimationand Its Applications to Geodetic Ajustments

We discuss t-type Bayesian estimation under normal-Gamma prior distribution and the scheme of choosing the hyper parameters.It can be seen from the solution that the t-type Bayesian estimation under normal-Gamma prior distribution can resist ill-conditioning as well as gross errors if the hyper parameters are properly chosen.A numerical example is provided.The result shows the validity of the method.