Abstract: With its inherent causal reasoning and superior capacity for handling uncertainty, the belief rule base (BRB) has been widely applied in complex systems modeling. As a generalization of ...

The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

Andrew Bloomenthal has 20+ years of editorial experience as a financial journalist and as a financial services marketing writer. Samantha (Sam) Silberstein, CFP®, CSLP®, EA, is an experienced ...

This course introduces students to topics in mathematics that have real-world applications, include sets and Venn diagrams, counting principles; basic concepts of probability, conditional probability ...

According to mathematical legend, Peter Sarnak and Noga Alon made a bet about optimal graphs in the late 1980s. They’ve now both been proved wrong. It started with a bet. In the late 1980s, at a ...

This is a preview. Log in through your library . Abstract The results of this paper deal directly with the behavior of compositions of random probability generating functions. These results are then ...