👉 Bayesian mathematics, often referred to as Bayesian inference or Bayesian statistics, is a framework for making probabilistic inferences based on prior knowledge and observed data. It involves updating the probability of a hypothesis as more evidence or information becomes available. The core concept is Bayes' Theorem, which mathematically expresses how to calculate the posterior probability (the updated belief after considering new data) given the prior probability (initial belief) and the likelihood (probability of observing the data given the hypothesis). This approach allows for a dynamic and iterative process of learning, where initial assumptions are refined with new evidence, making it particularly useful in fields like machine learning, artificial intelligence, and data analysis where uncertainty is inherent.
bay math