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 ...

Copulas are functions that enable the construction of multivariate probability distributions by binding together univariate marginal distributions. Central to probability theory, they allow ...

Online data has the potential to transform how researchers and companies produce election forecasts. Social media surveys, online panels, and even comments scraped from the internet can offer valuable ...

1 Mathematics and Computer Science, Oakton College, Des Plaines, USA. 2 Mathematics, Northeastern Illinois University, Chicago, USA. As an example of the construction of processes with continuous time ...

Marginal utility helps set product pricing; high initial satisfaction decreases with more units. Some stores use bulk pricing when consumers value additional items less. Progressive taxes assume each ...

where $l$ and $u$ are the lower and upper probability bounds, while $\phi$ and $\psi$ denote propositional logic formulas. For example the following two sentences ...

Structural biology, biochemistry, evolutionary biology, medicine, and drug development all require high-quality protein structures. Reliable tools for assessing structures remain essential to ensure ...

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 ...

In this article we present an algorithm to compute bounds on the marginals of a graphical model. For several small clusters of nodes upper and lower bounds on the marginal values are computed ...