Quantifying model uncertainty for the observed non-Gaussian data by the Hellinger distance
DOI10.1016/j.cnsns.2021.105720zbMath1461.62166arXiv2011.11170OpenAlexW3109227607WikidataQ112880671 ScholiaQ112880671MaRDI QIDQ2656071
Yayun Zheng, Fang Yang, Juergen Kurths, Jin-qiao Duan
Publication date: 10 March 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.11170
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics to environmental and related topics (62P12) Point estimation (62F10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Meteorology and atmospheric physics (86A10) Climate science and climate modeling (86A08)
Uses Software
Cites Work
- Densities for SDEs driven by degenerate \(\alpha\)-stable processes
- Statistical estimation of multivariate Ornstein-Uhlenbeck processes and applications to co-integration
- Kernel density estimation via diffusion
- Quasi-likelihood analysis for the stochastic differential equation with jumps
- Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions
- A simple general approach to inference about the tail of a distribution
- Minimum Hellinger distance estimates for parametric models
- Stochastic flows for Lévy processes with Hölder drifts
- Approximate self-weighted LAD estimation of discretely observed ergodic Ornstein-Uhlenbeck processes
- Analysis of data sets of stochastic systems
- Generalized moment estimators for \(\alpha\)-stable Ornstein-Uhlenbeck motions from discrete observations
- Quantifying model uncertainty in dynamical systems driven by non-Gaussian Lévy stable noise with observations on mean exit time or escape probability
- Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states
- An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay
- Least squares estimator for Ornstein-Uhlenbeck processes driven by \(\alpha \)-stable motions
- Parameter estimation in stochastic differential equations.
- Simulation and inference for stochastic differential equations. With R examples.
- Regularity of density for SDEs driven by degenerate Lévy noises
- Quantifying Model Uncertainties in Complex Systems
- Nonparametric estimation of diffusions: a differential equations approach
- Variational estimation of the drift for stochastic differential equations from the empirical density
- Lévy Processes and Stochastic Calculus
- Governing equations for probability densities of Marcus stochastic differential equations with Lévy noise
- Computational scheme for solving nonlinear fractional stochastic differential equations with delay
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