Nonparametric Bayesian estimation for multivariate Hawkes processes
From MaRDI portal
Publication:2215756
DOI10.1214/19-AOS1903zbMath1471.62347arXiv1802.05975MaRDI QIDQ2215756
Vincent Rivoirard, Sophie Donnet, Judith Rousseau
Publication date: 14 December 2020
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.05975
Hawkes processesnonparametric Bayesian estimationmultivariate counting processposterior concentration rates
Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (6)
GP-ETAS: semiparametric Bayesian inference for the spatio-temporal epidemic type aftershock sequence model ⋮ Hawkes Processes Modeling, Inference, and Control: An Overview ⋮ Nonparametric estimation of locally stationary Hawkes processes ⋮ Bayesian estimation of nonlinear Hawkes processes ⋮ Inference of multivariate exponential Hawkes processes with inhibition and application to neuronal activity ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
- Bayesian inference for Hawkes processes
- Nearly assumptionless screening for the mutually-exciting multivariate Hawkes process
- Adaptive estimation for Hawkes processes; application to genome analysis
- Rates of convergence for the posterior distributions of mixtures of betas and adaptive nonparametric estimation of the density
- A Bernstein-von Mises theorem for smooth functionals in semiparametric models
- Posterior convergence rates of Dirichlet mixtures at smooth densities
- Convergence rates of posterior distributions for non iid observations
- Some non asymptotic tail estimates for Hawkes processes
- Maximum likelihood analysis of spike trains of interacting nerve cells
- Maximum likelihood identification of neural point process systems
- Convergence rates of posterior distributions.
- Goodness-of-fit tests and nonparametric adaptive estimation for spike train analysis
- Lasso and probabilistic inequalities for multivariate point processes
- Self-exciting hurdle models for terrorist activity
- Stability of nonlinear Hawkes processes
- First- and Second-Order Statistics Characterization of Hawkes Processes and Non-Parametric Estimation
- Multivariate Hawkes processes: an application to financial data
- A cluster process representation of a self-exciting process
- Stochastic Declustering of Space-Time Earthquake Occurrences
- Estimation of slowly decreasing Hawkes kernels: application to high-frequency order book dynamics
- An Introduction to the Theory of Point Processes
- Self-Exciting Point Process Modeling of Crime
- FADO: A Statistical Method to Detect Favored or Avoided Distances between Occurrences of Motifs using the Hawkes' Model
- Analyzing Functional Connectivity Using a Network Likelihood Model of Ensemble Neural Spiking Activity
- Modelling microstructure noise with mutually exciting point processes
- Statistical models based on counting processes
This page was built for publication: Nonparametric Bayesian estimation for multivariate Hawkes processes