Asymptotic properties of maximum likelihood estimator for the growth rate of a stable CIR process based on continuous time observations
DOI10.1080/02331888.2019.1579216zbMath1440.62316arXiv1711.02140OpenAlexW2962989798WikidataQ128349113 ScholiaQ128349113MaRDI QIDQ5742595
Mátyás Barczy, Mohamed Ben Alaya, Gyula Pap, Ahmed Kebaier
Publication date: 15 May 2019
Published in: Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.02140
maximum likelihood estimatorstrong consistencyasymptotic mixed normalitystable Cox-Ingersoll-Ross process
Asymptotic properties of parametric estimators (62F12) Central limit and other weak theorems (60F05) Markov processes: estimation; hidden Markov models (62M05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interest rates, asset pricing, etc. (stochastic models) (91G30) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximum likelihood type estimation for discretely observed CIR model with small \(\alpha\)-stable noises
- Small noise fluctuations of the CIR model driven by \(\alpha\)-stable noises
- Discretization of processes.
- A stable Cox-Ingersoll-Ross model with restart
- Local asymptotic mixed normality for semimartingale experiments
- Asymptotic inference for semimartingale models with singular parameter points
- Exponential families of stochastic processes
- Affine processes and applications in finance
- A multivariate central limit theorem for continuous local martingales
- Asymptotic behavior of maximum likelihood estimators for a jump-type Heston model
- Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
- Stochastic equations of non-negative processes with jumps
- Asymptotic properties of estimators in a stable Cox-Ingersoll-Ross model
- Alpha-CIR model with branching processes in sovereign interest rate modeling
- Density approximations for multivariate affine jump-diffusion processes
- Skew convolution semigroups and affine Markov processes
- Measure-Valued Branching Markov Processes
- MOMENT EXPLOSIONS AND LONG-TERM BEHAVIOR OF AFFINE STOCHASTIC VOLATILITY MODELS
- Stationarity and Ergodicity for an Affine Two-Factor Model
- Estimation for Continuous Branching Processes
- On the functional central limit theorem and the law of the iterated logarithm for Markov processes
- [https://portal.mardi4nfdi.de/wiki/Publication:4076585 Caract�ristiques locales et conditions de continuit� absolue pour les semi-martingales]
- Exponential ergodicity of an affine two-factor model based on the α-root process
- Stochastic differential equation with jumps for multi-type continuous state and continuous time branching processes with immigration
- Asymptotic properties of maximum-likelihood estimators for Heston models based on continuous time observations
- Asymptotic properties of maximum likelihood estimator for the growth rate of a stable CIR process based on continuous time observations
- A general characterization of one factor affine term structure models