PyMC provides a flexible framework for Bayesian linear regression, allowing you to model data by defining prior knowledge and likelihood functions. Unlike frequentist approaches that find a single "best" set of coefficients, PyMC generates a distribution of possible parameters (the posterior) using Markov Chain Monte Carlo (MCMC) sampling. 1. Model Definition
Once the model is specified, you run the "Inference Button" by calling pm.sample() . pymc regression tutorial
: You assign probability distributions to unknown parameters like the intercept ( ), slope ( ), and error ( ). Common choices include: pm.Normal for regression coefficients. pm.HalfNormal or pm.HalfCauchy for the standard deviation ( ) to ensure it remains positive. PyMC provides a flexible framework for Bayesian linear
: Unlike frequentist confidence intervals, Bayesian credible intervals (e.g., a 94% HDI) provide a direct probability that a parameter falls within a certain range. 4. Advanced Regression Types Model Definition Once the model is specified, you
PyMC supports more complex regression structures beyond simple linear models: GLM: Linear regression — PyMC dev documentation
After sampling, you analyze the results to understand parameter uncertainty.