Publications

  • “Bootstrapping Persistent Betti Numbers and other Stabilizing Statistics”. Benjamin Roycraft, Johannes Krebs, and Wolfgang Polonik. 2023. Annals of Statistics.
  • “On Approximation Theorems for the Euler Characteristic with Applications to the Bootstrap”. Johannes Krebs, Benjamin Roycraft, and Wolfgang Polonik. 2021. Electronic Journal of Statistics.

Pre-prints

  • “Pseudo-likelihood Estimators for Graphical Models: Existence and Uniqueness”. Benjamin Roycraft and Bala Rajaratnam.
  • “A Topological Analysis of Protein Coexpression in Gasterosteus Aculeatus”. Benjamin Roycraft, Wolfgang Polonik, Parsa Jamshidian, and Dietmar Kueltz.

In-progress

  • “Feature Generating Models: a Data Paradigm”. Benjamin Roycraft and Bala Rajaratnam.
  • “Uniform Confidence Bands for Signal Detection”. Peter Kramlinger, Benjamin Roycraft, and Bala Rajaratnam.
  • “Simplicial Measures of Correlation”. Benjamin Roycraft.
  • “Distribution-Free Testing and Confidence Intervals”. Benjamin Roycraft.