Agent Skills: Monte Carlo Simulation

Monte Carlo methods for uncertainty quantification

uncertainty-quantificationID: a5c-ai/babysitter/monte-carlo-simulation

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plugins/babysitter/skills/babysit/process/specializations/domains/science/mathematics/skills/monte-carlo-simulation/SKILL.md

Skill Metadata

Name
monte-carlo-simulation
Description
Monte Carlo methods for uncertainty quantification

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