---
name: stan-bayesian-modeling
description: Stan probabilistic programming for Bayesian inference
allowed-tools:
  - Bash
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metadata:
  specialization: mathematics
  domain: science
  category: statistical-computing
  phase: 6
---

# Stan Bayesian Modeling

## Purpose

Provides Stan probabilistic programming capabilities for Bayesian inference and statistical modeling.

## Capabilities

- Stan model specification
- MCMC sampling (NUTS, HMC)
- Variational inference
- Prior predictive checks
- Posterior predictive checks
- Model comparison (LOO-CV, WAIC)

## Usage Guidelines

1. **Model Specification**: Write Stan code with clear blocks
2. **Prior Selection**: Choose appropriate, weakly informative priors
3. **Diagnostics**: Check Rhat, ESS, and divergences
4. **Model Comparison**: Use LOO-CV for model selection

## Tools/Libraries

- Stan
- CmdStan
- RStan
- PyStan