In classical Bayesian inference the prior is treated as fixed, it is asymptotically negligible, thus any information contained in the prior is ignored from the asymptotic first order result. However, in practice often an informative prior is summarized from previous similar or the same kind of...

This paper focuses on simulation-based inference for the time-deformation models directed by a duration process. In order to describe the heavy tail property of the time series of financial asset returns, the innovation of the observation equation is assumed to have a Student-t distribution....

With the concept of trend inflation now widely understood as to be important as a measure of the public's perception of the inflation goal of the central bank and important to the accuracy of longer-term inflation forecasts, this paper uses Bayesian methods to assess alternative models of trend...

This paper considers multiple market agents who have distinct distributional opinions about the state price density. Different opinions can be contested on a hypothetical market that trades Arrow-Debreu securities. We focus on the situation when the agents are maximizing logarithmic utility as...

Mathematics is constructed on axioms. From a practical point of view, the axiomatic background of Bayesian Inference is enough as to use it with the great majority of applications, including engineering ones. From a formal point o view, in this teaching paper, Bayesian axioms are compared with...