Deutsch Intern
Applied Stochastics

Implementation

Reproducible research repository

1. Statistics for stochastic partial differential equations:

  • R package on simulation and visualization of multi-dimensional SPDEs by Patrick Bossert at github
  • R package on parameter estimation and simulation of SPDEs by Patrick Bossert at github
  • R Code on parameter estimation and simulation of SPDEs (project with Mathias Trabs) at github
  • Simulation examples for SPDEs by Patrick Bossert

2. Statistics for high-frequency financial data with market microstructure 1 (one-sided noise):

  • R Code on testing for jumps from (best ask) prices in a limit order book with "limit order microstructure noise"  (implemented by Alexander Ristig) at github
  • R Code on asset-specific parametric limit order microstructure noise by Adrian Grüber

3. Statistics for high-frequency financial data with market microstructure 2 (Spectral estimation of volatility and covolatility)

  • Yuima function on spectral estimators (local method of moments) by Yuta Koike
  • Matlab Code by Peter Malec for estimation of the spot covariance matrix with spectral estimators from non-synchronous noisy high-frequency data; described in this web appendix

4. Fractional Brownian motion and rough volatility