Analysis on the Bayesian Induction in Statistic Inference
Niu Cui-bo · Journal of Bijie University · 2012
Bayesian Induction is one kind of Statistics Inference to use Bayesian theorem to get new Information from the data.Its nature of subjectivity that the bayesianists have during the process of inference is a target for frequentists to critics.By using the application of Bayesian inference in two kinds of estimations(MNP and BP),Bayesian induction answered its rivals.The Principle of stable estimation guarantees its independence of prior distribution without the price of the estimations' unbiasness and consistency.After all,we come to a concluding that the Bayesian induction not only meets our intuitions but also avoid the dependence upon the out-space and the subjective stopping rule which appeared in the classical inference scheme.