Local asymptotic mixed normality for semimartingale experiments
From MaRDI portal
Publication:1203345
DOI10.1007/BF01194919zbMath0768.62067MaRDI QIDQ1203345
Publication date: 22 March 1993
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
asymptotic efficiencydiffusion processescounting processessemimartingalediffusions with jumpslocal asymptotic mixed normality of experiments
Asymptotic properties of parametric estimators (62F12) Theory of statistical experiments (62B15) Non-Markovian processes: estimation (62M09) Markov processes: estimation; hidden Markov models (62M05) Generalizations of martingales (60G48)
Related Items (22)
On local asymptotic normality for birth and death on a flow ⋮ Asymptotic inference for semimartingale models with singular parameter points ⋮ On a singularity occurring in a self-correcting point process model ⋮ Local asymptotic quadraticity of stochastic process models based on stopping times ⋮ Local asymptotic normality property for Ornstein-Uhlenbeck processes with jumps under discrete sampling ⋮ Asymptotic behavior of maximum likelihood estimators for a jump-type Heston model ⋮ Maximum likelihood estimation for Wishart processes ⋮ LAMN property for multivariate inhomogeneous diffusions with discrete observations ⋮ Asymptotic mixed normality and hellinger processes ⋮ Local asymptotic mixed normality for discretely observed non-recurrent Ornstein-Uhlenbeck processes ⋮ Approximate self-weighted LAD estimation of discretely observed ergodic Ornstein-Uhlenbeck processes ⋮ Estimation of parameters of linear homogeneous stochastic differential equations ⋮ Second-order continuous-time non-stationary Gaussian autoregression ⋮ Bayesian prediction and model selection for locally asymptotically mixed normal models ⋮ Asymptotic properties of maximum likelihood estimator for the growth rate for a jump-type CIR process based on continuous time observations ⋮ Explicit formulas for Laplace transforms of certain functionals of some time inhomogeneous diffusions ⋮ Asymptotic properties of maximum likelihood estimator for the growth rate of a stable CIR process based on continuous time observations ⋮ Asymptotic behavior of maximum likelihood estimator for time inhomogeneous diffusion processes ⋮ Least squares estimator for \(\alpha\)-sub-fractional bridges ⋮ Asymptotic Inference for Jump Diffusions with State-Dependent Intensity ⋮ Regularity of models associated with Markov jump processes ⋮ Asymptotic inference for Markov step processes: Observation up to a random time
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Calcul stochastique et problèmes de martingales
- Stable convergence of semimartingales
- Operator-selfdecomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type
- Inference for earthquake models: A self-correcting model
- Asymptotic optimal inference for non-ergodic models
- Asymptotic methods in statistical decision theory
- Regularity, partial regularity, partial information process, for a filtered statistical model
- Asymptotic inference in Levy processes of the discontinuous type
- On a continuous analogue of the stochastic difference equation \(X_ n\) = rho X//(n-1) + \(B_ n\).
- Local asymptotic normality and mixed normality for Markov statistical models
- On the Behavior of the Likelihood Ratio of Semimartingales
- A general treatment of rearrangement problems in a linear storage
- Partially Specified Filtered Models and Efficiency
- Maximum likelihood estimation for continuous-time stochastic processes
- Some comments concerning a curious singularity
- On the Problem of Recurrence and Ergodicity of a Gaussian Markov Process
- A Review of Some Aspects of Asymptotic Likelihood Theory for Stochastic Processes
- Estimation in the birth process
- A stochastic integral in storage theory
- Inference for stochastic neuronal models
This page was built for publication: Local asymptotic mixed normality for semimartingale experiments