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ornstein-uhlenbeck

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R package for the exact simulation of non-negative shot noise processes and Lévy-driven non-Gaussian Ornstein-Uhlenbeck (OU) processes, in particular OU-Poisson, OU-Gamma and OU-inverse Gaussian processes from the paper by Tamborrino and Lansky, 'Shot noise, weak convergence and diffusion approximations', Physica D, 2021. https://www.sciencedire…

  • Updated Apr 27, 2021
  • R

Statistical arbitrage engine that screens S&P 500 pairs using Engle-Granger and Johansen cointegration tests, fits Ornstein-Uhlenbeck dynamics via MLE, and trades spreads with a Kalman filter hedge ratio. Includes a walk-forward backtest with monthly pair re-screening, continuous position carry-over, and a full performance dashboard.

  • Updated Jun 17, 2026
  • Jupyter Notebook

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