Application of Dempster-Shafer theory of evidence to the correlation problem

摘要

We apply the Dempster Shafer theory of evidence to the spatial correlation problem. Usually the correlation problem is solved using a Bayesian approach by evaluating the likelihood function for each possible assignment and choosing the maximum likelihood function as the correct assignment. A simulation comparison is then made between the decisions arrived at using the Dempster Shafer theory and those found using the (traditional) Bayesian approach. The results show (for the cases examined), the decisions made by both theories are identical. Since the Dempster Shafer theory is much more computationally intensive than the Bayesian approach and there is no gain (or loss) in the outcome, the reader will be much more appreciative of the more traditional Bayesian solution to the problem.