Bayesian Inference Engine Purpose Provides Bayesian probabilistic reasoning capabilities for prior specification, posterior computation, and sequential belief updating. Capabilities - Prior elicitation support - MCMC sampling (NUTS, HMC) - Variational inference - Model comparison (Bayes factors, LOO-CV) - Posterior predictive checking - Sequential belief updating Usage Guidelines 1. Prior Selection : Choose appropriate, defensible priors 2. Sampling : Use efficient MCMC algorithms 3. Diagnostics : Check convergence and mixing 4. Model Comparison : Use appropriate comparison criteria Tools/Lib…