Asymptotic behaviours for maximum likelihood estimator of drift parameter in α-Wiener bridge process
DOI10.1080/02331888.2022.2120878zbMath1497.62221OpenAlexW4296350490MaRDI QIDQ5044085
Jin Shao, Hui Jiang, Shaochen Wang
Publication date: 24 October 2022
Published in: Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331888.2022.2120878
Edgeworth expansionBerry-Esseen boundsmultiple Wiener-Itô integralsCramér-type moderate deviations\(\alpha\)-Wiener bridge
Asymptotic properties of parametric estimators (62F12) Markov processes: estimation; hidden Markov models (62M05) Strong limit theorems (60F15) Large deviations (60F10) Estimation in survival analysis and censored data (62N02)
Cites Work
- Explicit formulas for Laplace transforms of certain functionals of some time inhomogeneous diffusions
- Large and moderate deviations in testing time inhomogeneous diffusions
- Delta method in large deviations and moderate deviations for estimators
- Parameter estimations for the sub-fractional Brownian motion with drift at discrete observation
- Stein's method and exact Berry-Esseen asymptotics for functionals of Gaussian fields
- Tail behaviour of multiple random integrals and \(U\)-statistics
- On a one-parameter generalization of the Brownian bridge and associated quadratic functionals
- Maximum likelihood estimator for the sub-fractional Brownian motion approximated by a random walk
- Asymptotic behavior of maximum likelihood estimator for time inhomogeneous diffusion processes
- Moderate deviations for parameter estimation in some time inhomogeneous diffusions
- Optimal Berry-Esseen bound for an estimator of parameter in the Ornstein-Uhlenbeck process
- Sharp large deviations for the log-likelihood ratio of an \({\alpha}\)-Brownian bridge
- On a multivariate version of Bernstein's inequality
- Parameter Estimation for α-Fractional Bridges
- α-Wiener Bridges: Singularity of Induced Measures and Sample Path Properties
- Cumulants on Wiener chaos: moderate deviations and the fourth moment theorem
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