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Estimation for the Discretely Observed Cox–Ingersoll–Ross Model Driven by Small Symmetrical Stable Noises
- Source :
- Symmetry, Vol 12, Iss 3, p 327 (2020), Symmetry, Volume 12, Issue 3
- Publication Year :
- 2020
- Publisher :
- MDPI AG, 2020.
-
Abstract
- This paper is concerned with the least squares estimation of drift parameters for the Cox&ndash<br />Ingersoll&ndash<br />Ross (CIR) model driven by small symmetrical -stable noises from discrete observations. The contrast function is introduced to obtain the explicit formula of the estimators and the error of estimation is given. The consistency and the rate of convergence of the estimators are proved. The asymptotic distribution of the estimators is studied as well. Finally, some numerical calculus examples and simulations are given.
- Subjects :
- Statistics::Theory
Physics and Astronomy (miscellaneous)
Quantitative Biology::Tissues and Organs
General Mathematics
Asymptotic distribution
02 engineering and technology
01 natural sciences
010104 statistics & probability
Consistency (statistics)
0202 electrical engineering, electronic engineering, information engineering
Computer Science (miscellaneous)
Applied mathematics
cox–ingersoll–ross model
0101 mathematics
asymptotic distribution
Mathematics
Estimation
consistency
lcsh:Mathematics
Estimator
least squares estimator
lcsh:QA1-939
small symmetrical-stable noises
Cox–Ingersoll–Ross model
Rate of convergence
Chemistry (miscellaneous)
020201 artificial intelligence & image processing
small symmetrical α-stable noises
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 12
- Issue :
- 3
- Database :
- OpenAIRE
- Journal :
- Symmetry
- Accession number :
- edsair.doi.dedup.....c464ff0c83f8bd222420356fb291fb70