In this paper we propose an experimental method to choose a prior distribution. Different from many re-searchers, who offered lots of principles that separated from sample information, we consider it a Bayesian discri...In this paper we propose an experimental method to choose a prior distribution. Different from many re-searchers, who offered lots of principles that separated from sample information, we consider it a Bayesian discrimina-tion problem combining with the sample information. We introduce the concept of Posterior belief about prior distri-butions. With the well-known Bayes theorem we give out a formula to calculate it and propose a method to discrirni-nate a prior between prior distributions-- Highest Posterior Belief (HPB). We also show that under certain condition,the HPB method is identical with the ML-I method.展开更多
This paper mainly deals with the Bayesian statistical inference theory on the VAR(p) forecasting model based on the parameters’ Minnesota conjugate prior distribution,including the prior distribution’s structure, th...This paper mainly deals with the Bayesian statistical inference theory on the VAR(p) forecasting model based on the parameters’ Minnesota conjugate prior distribution,including the prior distribution’s structure, the parameters’ posterior distribution, and compares the forecasting accuracy of AR,VAR and BVAR model.展开更多
文摘In this paper we propose an experimental method to choose a prior distribution. Different from many re-searchers, who offered lots of principles that separated from sample information, we consider it a Bayesian discrimina-tion problem combining with the sample information. We introduce the concept of Posterior belief about prior distri-butions. With the well-known Bayes theorem we give out a formula to calculate it and propose a method to discrirni-nate a prior between prior distributions-- Highest Posterior Belief (HPB). We also show that under certain condition,the HPB method is identical with the ML-I method.
文摘This paper mainly deals with the Bayesian statistical inference theory on the VAR(p) forecasting model based on the parameters’ Minnesota conjugate prior distribution,including the prior distribution’s structure, the parameters’ posterior distribution, and compares the forecasting accuracy of AR,VAR and BVAR model.