A third order upper bound is presented on the probability of the union of a finite number of events, by means of graphs called cherry trees. These are graphs that we construct recursively in such a ...

For any event that has multiple outcomes with different probabilities, it can be helpful and illustrative to construct a chart or diagram of the possible outcomes. Tree diagrams are a useful example ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

This paper presents a general framework based on copulas for modeling dependent multivariate uncertainties through the use of a decision tree. The proposed dependent decision tree model allows ...

Kohlberg, Elon, and Philip J. Reny. "Independence on Relative Probability Spaces and Consistent Assessments in Game Trees." Harvard Business School Working Paper, No. 96-072, June 1996.

Kohlberg, Elon, and Philip J. Reny. "Independence on Relative Probability Spaces and Consistent Assessments in Game Trees." Journal of Economic Theory 75, no. 2 (August 1997): 280 – 313.