Inside probability theory, conditional probability is a way to calculate and measure the probability of some event happening if another event has already occurred. The Bayes’ Theorem is one way of ...

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 ...

You're sitting in the doctor's office waiting for the result of a test. The test will tell you whether you have a disease you really don't want to have. As you wait, it seems as if the whole world is ...

Learn how prior probability informs economic theory and decision-making in Bayesian statistics. Understand its role before collecting new data.

Mike Lee receives relevant research funding from the Australian Research Council, the Australia-Pacific Science Foundation, and Flinders University. Benedict King receives funding from the Australian ...

This paper concerns the use of empirical Bayes methods to improve the efficiency of a parameter of interest, θ, in the presence of many nuisance parameters, {φi}, one from each data stratum. A class ...