Monte Carlo Simulation

Purpose

Provides Monte Carlo methods for uncertainty quantification, integration, and probabilistic analysis.

Capabilities

• Standard Monte Carlo sampling
• Importance sampling
• Stratified sampling
• Quasi-Monte Carlo (Sobol, Halton sequences)
• Markov chain Monte Carlo
• Convergence analysis

Usage Guidelines

1. Sampling Strategy: Choose appropriate sampling method
2. Sample Size: Determine sufficient sample sizes
3. Variance Reduction: Apply variance reduction techniques
4. Convergence: Monitor convergence diagnostics

Tools/Libraries

• NumPy
• scipy.stats
• SALib