Law of the Iterated Logarithm for Unstable Gaussian Autoregressive Models
We investigate the asymptotic properties of one-dimensional Gaussian autoregressive processes of the second order. We prove the law of the iterated logarithm in the case of an unstable autoregressive model.
Saved in:
| Date: | 2001 |
|---|---|
| Main Authors: | Koval, V. A., Коваль, В. А. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4264 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Bounded law of the iterated logarithm for multidimensional martingales normalized by matrices
by: Koval, V. A., et al.
Published: (2006)
by: Koval, V. A., et al.
Published: (2006)
Functional law of the iterated logarithm for fields and its applications
by: Bondarev, B. V., et al.
Published: (1997)
by: Bondarev, B. V., et al.
Published: (1997)
The functional law of iterated logarithm for Ito stochastic integrals
by: A. V. Logachjov
Published: (2014)
by: A. V. Logachjov
Published: (2014)
The law of iterated logarithm for solutions of stochastic differential equations
by: Makhno, S. Ya., et al.
Published: (1996)
by: Makhno, S. Ya., et al.
Published: (1996)
Iterated Logarithm Law for Sizes of Clusters in Arratia flow
by: A. A. Dorogovtsev, et al.
Published: (2012)
by: A. A. Dorogovtsev, et al.
Published: (2012)
On the Upper Limit of a Random Sequence and the Law of the Iterated Logarithm
by: Petrov, V. V., et al.
Published: (2000)
by: Petrov, V. V., et al.
Published: (2000)
Functional iterated logarithm law for a Wiener process
by: Budkov, D.S., et al.
Published: (2007)
by: Budkov, D.S., et al.
Published: (2007)
Stochastic differential equations with interaction and the law of iterated logarithm
by: M. P. Lagunova
Published: (2012)
by: M. P. Lagunova
Published: (2012)
One improvement of the law of the iterated logarithm for the maximum scheme
by: Akbash, K. S., et al.
Published: (2012)
by: Akbash, K. S., et al.
Published: (2012)
Functional law of iterated logarithm for normalized integrals of processes with weak dependence
by: Bondarev, B. V., et al.
Published: (1997)
by: Bondarev, B. V., et al.
Published: (1997)
On the law of the iterated logarithm for the maximum scheme in Banach ideal spaces
by: K. S. Akbash, et al.
Published: (2019)
by: K. S. Akbash, et al.
Published: (2019)
On the law of the iterated logarithm for the maximum scheme in Banach ideal spaces
by: Akbash, K. S., et al.
Published: (2019)
by: Akbash, K. S., et al.
Published: (2019)
One moment estimate for the supremum of normalized sums in the law of the iterated logarithm
by: Matsak, I. K., et al.
Published: (2006)
by: Matsak, I. K., et al.
Published: (2006)
On the law of the iterated logarithm for weighted sums of independent random variables in a Banach space
by: Matsak, I. K., et al.
Published: (1993)
by: Matsak, I. K., et al.
Published: (1993)
Matrix parameter estimation in an autoregression model
by: Yurachkivsky, A.P., et al.
Published: (2006)
by: Yurachkivsky, A.P., et al.
Published: (2006)
Functional iterated logarithm low for Bessel processes and for functionals on them
by: D. S. Budkov, et al.
Published: (2015)
by: D. S. Budkov, et al.
Published: (2015)
Exact rates in the Davis–Gut law of iterated logarithm for the first moment convergence of independent identically distributed random variables
by: X.-Y. Xiao, et al.
Published: (2017)
by: X.-Y. Xiao, et al.
Published: (2017)
Еxact rates in the Davis – Gut law of iterated logarithm for the first
moment convergence of independent identically distributed random variables
by: Xiao, X.-Y., et al.
Published: (2017)
by: Xiao, X.-Y., et al.
Published: (2017)
Limit theorem for the maximum of dependent Gaussian random elements in a Banach space
by: Koval, V. A., et al.
Published: (1997)
by: Koval, V. A., et al.
Published: (1997)
Asymptotic distinguishing of autoregressive processes
by: Lin'kov, Yu. N., et al.
Published: (1996)
by: Lin'kov, Yu. N., et al.
Published: (1996)
On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time
by: Koval, V. A., et al.
Published: (2001)
by: Koval, V. A., et al.
Published: (2001)
Method of noise-robust estimation of parameters of autoregressive model in frequency domain
by: V. K. Zadiraka, et al.
Published: (2021)
by: V. K. Zadiraka, et al.
Published: (2021)
On One Sufficient Condition for the Validity of the Strong Law of Large Numbers for Martingales
by: Koval, V. A., et al.
Published: (2000)
by: Koval, V. A., et al.
Published: (2000)
Robustness of forecasting based on the small parameters autoregressive time series models
by: Ju. S. Kharin, et al.
Published: (2014)
by: Ju. S. Kharin, et al.
Published: (2014)
Modeling in a class of autoregression equations systems in con-ditions of structural uncertainty
by: A. P. Sarychev
Published: (2015)
by: A. P. Sarychev
Published: (2015)
Modeling of economic security in an unstable economic environment
by: V. V. Khrapkina, et al.
Published: (2014)
by: V. V. Khrapkina, et al.
Published: (2014)
The Modelling of Registered Unemployment Rate Nonlinear Dynamics in Ukraine by Means of Threshold Autoregression
by: I. H. Lukianenko, et al.
Published: (2015)
by: I. H. Lukianenko, et al.
Published: (2015)
Investigations of unstable crystal lattice on discrete models
by: Yu. Kozak
Published: (2017)
by: Yu. Kozak
Published: (2017)
On Non-Gaussian Limiting Laws for Certain Statistics of Wigner Matrices
by: Lytova, A.
Published: (2013)
by: Lytova, A.
Published: (2013)
On Non-Gaussian Limiting Laws for Certain Statistics of Wigner Matrices
by: A. Lytova
Published: (2013)
by: A. Lytova
Published: (2013)
Asymptotically optimal estimator of the parameter of semi-linear autoregression
by: Ivanenko, D.
Published: (2007)
by: Ivanenko, D.
Published: (2007)
Combined Autoregressive-Neural Network Method for Predicting Time Series
by: G. A. Kravtsov, et al.
Published: (2020)
by: G. A. Kravtsov, et al.
Published: (2020)
Extremal Problems in Logarithmic Potential Theory
by: Zorii, N. V., et al.
Published: (2002)
by: Zorii, N. V., et al.
Published: (2002)
Essentially unstable solutions of difference equations
by: Slyusarchuk, V. E., et al.
Published: (1999)
by: Slyusarchuk, V. E., et al.
Published: (1999)
On the strong law of large numbers for φ-sub-Gaussian random variables
by: K. Zajkowski
Published: (2021)
by: K. Zajkowski
Published: (2021)
On the strong law of large numbers for ϕ-sub-Gaussian random variables
by: Zajkowski, K., et al.
Published: (2021)
by: Zajkowski, K., et al.
Published: (2021)
Logarithmic image processing
by: R. A. Vorobel
Published: (2013)
by: R. A. Vorobel
Published: (2013)
The use of simulation techniques autoregressive spectral analysis to solve problems vibrodiagnostics
by: Ye. O. Zaitsev, et al.
Published: (2014)
by: Ye. O. Zaitsev, et al.
Published: (2014)
Monte-carlo modeling for unstable particle ensembles with thermal fluctuations
by: Kharchenko, D.O.
Published: (2009)
by: Kharchenko, D.O.
Published: (2009)
SPICE Model of a Logarithmic Converter for Magnetic Tracking Systems
by: T. A. Marusenkova
Published: (2020)
by: T. A. Marusenkova
Published: (2020)
Similar Items
-
Bounded law of the iterated logarithm for multidimensional martingales normalized by matrices
by: Koval, V. A., et al.
Published: (2006) -
Functional law of the iterated logarithm for fields and its applications
by: Bondarev, B. V., et al.
Published: (1997) -
The functional law of iterated logarithm for Ito stochastic integrals
by: A. V. Logachjov
Published: (2014) -
The law of iterated logarithm for solutions of stochastic differential equations
by: Makhno, S. Ya., et al.
Published: (1996) -
Iterated Logarithm Law for Sizes of Clusters in Arratia flow
by: A. A. Dorogovtsev, et al.
Published: (2012)