# MMAR Volatility Forecasting - Python Dependencies
# Install with: pip install -r requirements.txt

# Core scientific computing
numpy>=1.24.0
pandas>=2.0.0
scipy>=1.10.0

# Plotting
matplotlib>=3.7.0

# Statistical analysis
statsmodels>=0.14.0

# GARCH models (for comparison with MMAR)
arch>=6.0.0

# Hurst exponent estimation (robust R/S method for Step 2)
nolds>=0.5.2

# MetaTrader 5 integration (for live data)
MetaTrader5>=5.0.45

# Optional: Jupyter notebook support (for analysis)
# jupyter>=1.0.0
# ipython>=8.0.0

# Optional: Performance optimization
# numba>=0.57.0  # JIT compilation for speed