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Stock-Densities

OKRs: Data collection

  • Collect minute level market data for SPY
  • Calculate deltas

Density Estimation

  • Decide on a density estimation method (or two)
  • MAP estimation (Gaussian & Fat tailed)
  • KDEs
  • Mixture models
  • Log-Spline model
  • Implement chosen density estimation model

Time Series Estimation

  • Decide on time series estimation method depending on density technique
  • ARIMA
  • Implement chosen time series model

Evaluation

  • Evaluate using Kolmogorov-Smirnov Testing
  • Compare estimations between time frames with KL-Divergence and Wasserstein Metric
  • Build system w/ simple strategy to paper trade

Reach Goals

  • Online Model
  • [ ]

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Project to estimate probability densities of price movement

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  • Jupyter Notebook 99.8%
  • Python 0.2%