MODELING FINANCIAL PORTFOLIOS USING BELIEF FUNCTIONS

The main goal of this paper is to demonstrate how the theory of belief functions [Dempster 1967, Shafer 1976, Kohlas and Monney 1995, Smets 1998] can be used to model financial portfolios. In particular, we are interested in modeling how a portfolio return distribution changes as we learn new information about the different factors that impact the portfolio.

[1]  Jürg Kohlas,et al.  A Mathematical Theory of Hints , 1995 .

[2]  W. Andrew,et al.  LO, and A. , 1988 .

[3]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[4]  James E. Smith.  Moment Methods for Decision Analysis , 1993 .

[5]  Prakash P. Shenoy,et al.  Axioms for probability and belief-function proagation , 1990, UAI.

[6]  J. Kacprzyk,et al.  Advances in the Dempster-Shafer theory of evidence , 1994 .

[7]  Prakash P. Shenoy,et al.  Using Dempster-Shafer's belief-function theory in expert systems , 1992, Defense, Security, and Sensing.

[8]  Zbigniew W. Ras,et al.  Methodologies for Intelligent Systems , 1991, Lecture Notes in Computer Science.

[9]  P. P. Shenoy,et al.  Bayesian Network Models of Portfolio Risk and Return , 2000 .

[10]  Philippe Smets,et al.  Constructing the Pignistic Probability Function in a Context of Uncertainty , 1989, UAI.

[11]  John B. Sullivan.  Discussant's response to "AUDITOR'S ASSISTANT: A knowledge engineering tool for audit decisions"; , 1988 .

[12]  Andrew W. Lo,et al.  Computational finance , 1999, Comput. Sci. Eng..

[13]  Philippe Smets,et al.  The Transferable Belief Model for Quantified Belief Representation , 1998 .

[14]  J. Kohlas,et al.  A Mathematical Theory of Hints: An Approach to the Dempster-Shafer Theory of Evidence , 1995 .

[15]  Andrew P. Sage,et al.  Uncertainty in Artificial Intelligence , 1987, IEEE Transactions on Systems, Man, and Cybernetics.