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This skill empowers Claude to perform advanced probabilistic programming tasks using PyMC 5.x+. It provides a comprehensive framework for the entire Bayesian workflow—from data preparation and prior predictive checks to MCMC sampling with NUTS and complex model diagnostics. Whether you're building hierarchical models, time-series analyses, or conducting model comparisons using LOO/WAIC, this skill ensures best practices like non-centered parameterization and proper uncertainty quantification are followed for reliable scientific inference.