Estimation of parameters of linear homogeneous stochastic differential equations
From MaRDI portal
Publication:1965895
DOI10.1016/S0304-4149(97)00083-5zbMath0933.62099MaRDI QIDQ1965895
Andrius Jankunas, Rafail Z. Khasminskii
Publication date: 1 March 2000
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
asymptotic efficiencylocal asymptotic normalitymaximum likelihood estimatorslinear stochastic differential equations
Asymptotic properties of parametric estimators (62F12) Stationary stochastic processes (60G10) Inference from stochastic processes and spectral analysis (62M15) Inference from stochastic processes (62M99) Functional limit theorems; invariance principles (60F17) Probability theory on linear topological spaces (60B11)
Related Items
Optimal contingent claims. ⋮ Parameter estimation of uncertain differential equation with application to financial market ⋮ Estimating stochastic dynamical systems driven by a continuous-time jump Markov process ⋮ Asymptotic properties of an estimator of the drift coefficients of multidimensional Ornstein-Uhlenbeck processes that are not necessarily stable ⋮ Second-order continuous-time non-stationary Gaussian autoregression ⋮ Standard maximum likelihood drift parameter estimator in the homogeneous diffusion model is always strongly consistent ⋮ Drift parameter estimation in stochastic differential equation with multiplicative stochastic volatility ⋮ ON ESTIMATION OF THE LINEARIZED DRIFT FOR NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS ⋮ Uniform law of large numbers and consistency of estimators for Harris diffusions ⋮ On sequential estimation of parameters in semimartingale regression models with continuous time parameter. ⋮ Nonparametric estimation of periodic signal disturbed by α-stable noises
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic behavior of M-estimator and related random field for diffusion process
- Asymptotic methods in statistical decision theory
- Uniform asymptotic normality of the maximum likelihood estimator
- Asymptotics in statistics: some basic concepts
- Local asymptotic mixed normality for semimartingale experiments
- Local asymptotic normality and mixed normality for Markov statistical models
- Stability of regime-switching stochastic differential equations
- Stochastic stability and control
- Estimation of the coefficients of a diffusion from discrete observations
- Optimization Problems in the Theory of Continuous Trading
- Asymptotic likelihood theory for diffusion processes
- Maximum likelihood estimation for continuous-time stochastic processes
- A Review of Some Aspects of Asymptotic Likelihood Theory for Stochastic Processes