On the adaptive Lasso estimator of AR(\(p\)) time series with applications to INAR(\(p\)) and Hawkes processes
From MaRDI portal
Publication:6541944
DOI10.1016/j.jspi.2024.106145zbMath1537.62038MaRDI QIDQ6541944
Giovanni Luca Torrisi, Daniela de Canditiis
Publication date: 21 May 2024
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Asymptotic properties of parametric estimators (62F12) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Ridge regression; shrinkage estimators (Lasso) (62J07) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bootstrapping INAR models
- The Adaptive Lasso and Its Oracle Properties
- Hawkes and INAR(\(\infty\)) processes
- Gaussian approximation of nonlinear Hawkes processes
- Adaptive estimation for Hawkes processes; application to genome analysis
- Autoregressive process modeling via the Lasso procedure
- Subset ARMA selection via the adaptive Lasso
- Risk processes with non-stationary Hawkes claims arrivals
- \(\ell_1\)-regularization of high-dimensional time-series models with non-Gaussian and heteroskedastic errors
- Time series: theory and methods.
- Poisson approximation of point processes with stochastic intensity, and application to nonlinear Hawkes processes
- Non-Linear Time Series
- Random Measures, Theory and Applications
- Rate of convergence to equilibrium of marked Hawkes processes
- A class of interacting marked point processes: rate of convergence to equilibrium
- THE INTEGER-VALUED AUTOREGRESSIVE (INAR(p)) MODEL
- A cluster process representation of a self-exciting process
- The Multivariate Ginar(p) Process
- An estimation procedure for the Hawkes process
- Spectra of some self-exciting and mutually exciting point processes
- FADO: A Statistical Method to Detect Favored or Avoided Distances between Occurrences of Motifs using the Hawkes' Model
- Adaptive LASSO estimation for ARDL models with GARCH innovations
- Tauberian theorems
This page was built for publication: On the adaptive Lasso estimator of AR(\(p\)) time series with applications to INAR(\(p\)) and Hawkes processes