Empirical Bayes

Empirical Bayes is a statistical method that combines observed data with prior beliefs to make better predictions. Instead of starting with a fixed prior belief about something, it estimates this prior from the data itself. This approach allows for adapting to actual observations, improving estimates and reducing uncertainty. For example, if we want to predict people's heights based on a sample, Empirical Bayes helps shape our expectations using the sample data, making the predictions more informed and accurate. It’s a powerful tool that blends historical knowledge with current evidence to guide decision-making.