Maximum likelihood estimation for stochastic Lotka-Volterra model with jumps
From MaRDI portal
Publication:1712202
DOI10.1186/s13662-018-1605-zzbMath1446.60040OpenAlexW2802968095MaRDI QIDQ1712202
Huiyan Zhao, Chongqi Zhang, Li-Min Wen
Publication date: 21 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1605-z
Markov processes: estimation; hidden Markov models (62M05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30)
Related Items (2)
Parameter estimation for stochastic Lotka-Volterra model driven by small Lévy noises from discrete observations ⋮ Least squares estimation for discretely observed stochastic Lotka-Volterra model driven by small \(\alpha \)-stable noises
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimating jump-diffusions using closed-form likelihood expansions
- Maximum-likelihood estimation for diffusion processes via closed-form density expansions
- Stochastic population dynamics driven by Lévy noise
- Stationary distribution of stochastic population systems
- Competitive Lotka-Volterra population dynamics with jumps
- Discretization of processes.
- Statistical inference for ergodic diffusion processes.
- A multivariate central limit theorem for continuous local martingales
- Asymptotic properties of maximum likelihood estimator for the growth rate for a jump-type CIR process based on continuous time observations
- Environmental Brownian noise suppresses explosions in population dynamics.
- Noise in ecosystems: a short review
- Stochastic delay Lotka--Volterra model
- Stability of regime-switching stochastic differential equations
- The stationary distribution of the facultative population model with a degenerate noise
- Asymptotic properties of estimators in a stable Cox-Ingersoll-Ross model
- Exponential ergodicity for population dynamics driven by \(\alpha\)-stable processes
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- Lévy Processes and Stochastic Calculus
- A strong law of large numbers for local martingales
This page was built for publication: Maximum likelihood estimation for stochastic Lotka-Volterra model with jumps