Recently Fox has suggested and evaluated several non-Bayesian rules for the problem of the two-armed bandit. In this paper several Bayesian rules for this problem are compared with the best of Fox's ...

Having a strong opinion about an issue can make it hard to take in new information about it, or to consider other options when they’re presented. Thankfully, there’s an old rule that can help us avoid ...

Bayes' theorem, also called Bayes' rule or Bayesian theorem, is a mathematical formula used to determine the conditional probability of events. The theorem uses the power of statistics and probability ...

SCIENCE, being a human activity, is not immune to fashion. For example, one of the first mathematicians to study the subject of probability theory was an English clergyman called Thomas Bayes, who was ...

Researchers at McGill University have found that cells respond to their ever-changing environment in a way that mimics the optimal mathematical approach to doing so, also known as Bayes’ rule; an ...

How likely you think something is to happen depends on what you already believe about the circumstances. That is the simple concept behind Bayes' rule, an approach to calculating probabilities, first ...

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American I’m not sure when I first heard of Bayes’ ...

Whether in everyday life or in the lab, we often want to make inferences about hypotheses. Whether I’m deciding it’s safe to run a yellow light, when I need to leave home in order to make it to my ...

Chris Wiggins, an associate professor of applied mathematics at Columbia University, offers this explanation. A patient goes to see a doctor. The doctor performs a test with 99 percent ...

We study the empirical Bayes decision theory with an m-truncated sequential statistical decision problem as the component. An empirical Bayes sequential decision procedure is constructed for the ...