Trajectory fitting estimation for a class of SDEs with small Lévy noises
DOI10.1214/22-BJPS541zbMath1496.62144OpenAlexW4297337093MaRDI QIDQ2083427
Publication date: 10 October 2022
Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/22-bjps541
asymptotic distributionconsistencystochastic differential equationssmall Lévy noisestrajectory fitting estimation
Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Markov processes: estimation; hidden Markov models (62M05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On drift parameter estimation for mean-reversion type stochastic differential equations with discrete observations
- Maximum likelihood type estimation for discretely observed CIR model with small \(\alpha\)-stable noises
- Least squares estimators for discretely observed stochastic processes driven by small Lévy noises
- Least squares estimators for stochastic differential equations driven by small Lévy noises
- Parameter estimation for a class of stochastic differential equations driven by small stable noises from discrete observations
- An asymptotic expansion scheme for optimal investment problems
- Least squares estimator for discretely observed Ornstein-Uhlenbeck processes with small Lévy noises
- Approximate martingale estimating functions for stochastic differential equations with small noises
- A note on ``Least squares estimator for discretely observed Ornstein-Uhlenbeck processes with small Lévy noises
- Estimation for stochastic differential equations with a small diffusion coefficient
- On Itô stochastic integration with respect to p-stable motion: Inner clock, integrability of sample paths, double and multiple integrals
- Some time change representations of stable integrals, via predictable transformations of local martingales
- Statistical inference for ergodic diffusion processes.
- Small-diffusion asymptotics for discretely sampled stochastic differential equations
- Minimum distance parameter estimation for SDEs with small \(\alpha\)-stable noises
- Asymptotic expansion for small diffusions applied to option pricing
- Asymptotic behaviour of trajectory fitting estimators for certain non-ergodic SDE
- Least squares estimator for path-dependent McKean-Vlasov SDEs via discrete-time observations
- A sufficient condition for asymptotic sufficiency of incomplete observations of a diffusion process
- Parameter estimation for non-stationary reflected Ornstein-Uhlenbeck processes driven by \(\alpha\)-stable noises
- Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise.
- The Asymptotic Expansion Approach to the Valuation of Interest Rate Contingent Claims
- Parameter estimation for some non-recurrent solutions of SDE
- Estimation for Discretely Observed Small Diffusions Based on Approximate Martingale Estimating Functions
- Parameter estimation for certain nonstationary processes driven by α-stable motions
- Maximnm contrast estimation for diffusion processes from discrete observations
This page was built for publication: Trajectory fitting estimation for a class of SDEs with small Lévy noises