Asymptotic properties of MLE for partially observed fractional diffusion system
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Publication:625313
DOI10.1007/s11203-009-9035-xzbMath1205.60142OpenAlexW1981565950MaRDI QIDQ625313
Alexandre Brouste, Marina Kleptsyna
Publication date: 15 February 2011
Published in: Statistical Inference for Stochastic Processes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11203-009-9035-x
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Cites Work
- Unnamed Item
- Maximum likelihood estimator for hidden Markov models in continuous time
- Almost sure parameter estimation and convergence rates for hidden Markov models
- Maximum-likelihood estimation for hidden Markov models
- Filtering and parameter estimation in a simple linear system driven by a fractional Brownian motion
- An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions
- Quadratic variations and estimation of the local Hölder index of a Gaussian process
- Asymptotic properties of the maximum likelihood estimator in autoregressive models with Markov regime
- Asymptotic normality of the maximum-likelihood estimator for general hidden Markov models
- Statistical analysis of the fractional Ornstein--Uhlenbeck type process
- Extension of the Kalman-Bucy filter to elementary linear systems with fractional Brownian noises
- Consistent and asymptotically normal parameter estimates for hidden Markov models
- Asymptotic normality of the maximum likelihood estimator in state space models
- Leroux's method for general hidden Markov models
- Linear estimation of self-similar processes via Lamperti's transformation
- A Cameron-Martin type formula for general Gaussian processes--a filtering approach
- Statistical Inference for Probabilistic Functions of Finite State Markov Chains
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