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The PyMC Bayesian Modeling skill empowers developers and data scientists to implement robust probabilistic programming workflows directly within Claude Code. It provides domain-specific guidance for building hierarchical models, performing MCMC sampling with the NUTS sampler, and executing variational inference (ADVI). By integrating best practices for prior/posterior predictive checks and model diagnostics via ArviZ, this skill ensures statistical rigor in uncertainty quantification, missing data handling, and model comparison through LOO and WAIC metrics.