When Bob flips a coin and announces the result, what can we really know about which coin he chose? This video builds probability trees to reveal how new evidence systematically updates our beliefs, ...

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 the 20th-century statistics wars, Bayesians were underdogs. Now their methods may help speed treatments to market.

In school, we are trained to think that math problems always have one correct answer. But this is not necessarily true for problems dealing with probability, if the method used to reach the described ...

Asymptotically optimal empirical Bayes squared error loss estimation procedures are developed for three families of continuous distributions, uniform $(0, \theta ...