Research Project

Private and Robust Inference for Hawkes Process Data and Integer-Valued Autoregression

Robust and privacy-aware inference for Hawkes process data, with a connection to integer-valued autoregression and applications to healthcare event streams.

In Process Hawkes Processes Healthcare Data

Overview

  • Develops and fits Hawkes process models to healthcare event data.
  • Uses density power divergence ideas to build more robust inference procedures.
  • Establishes a relationship between Hawkes processes and integer-valued autoregression models.

Methods and contribution

The project studies self-exciting temporal point processes in settings where anomalies or model misspecification can distort standard inference. Robustness is introduced through divergence-based estimation, and numerical experiments are carried out using thinning-based simulation.

By linking Hawkes process structure to integer-valued autoregression, the work also helps connect point-process modeling with familiar discrete-time count models.

Materials

Paper Slides Code not public