Maximum likelihood principle and -divergence: continuous time observations
Kybernetika (1998)
- Volume: 34, Issue: 3, page [289]-308
 - ISSN: 0023-5954
 
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topMichálek, Jiří. "Maximum likelihood principle and $I$-divergence: continuous time observations." Kybernetika 34.3 (1998): [289]-308. <http://eudml.org/doc/33355>.
@article{Michálek1998,
	abstract = {The paper investigates the relation between maximum likelihood and minimum $I$-divergence estimates of unknown parameters and studies the asymptotic behaviour of the likelihood ratio maximum. Observations are assumed to be done in the continuous time.},
	author = {Michálek, Jiří},
	journal = {Kybernetika},
	keywords = {maximum likelihood estimation; information divergence; Gaussian process; autoregressive processes; maximum likelihood estimation; information divergence; Gaussian process; autoregressive processes},
	language = {eng},
	number = {3},
	pages = {[289]-308},
	publisher = {Institute of Information Theory and Automation AS CR},
	title = {Maximum likelihood principle and $I$-divergence: continuous time observations},
	url = {http://eudml.org/doc/33355},
	volume = {34},
	year = {1998},
}
TY  - JOUR
AU  - Michálek, Jiří
TI  - Maximum likelihood principle and $I$-divergence: continuous time observations
JO  - Kybernetika
PY  - 1998
PB  - Institute of Information Theory and Automation AS CR
VL  - 34
IS  - 3
SP  - [289]
EP  - 308
AB  - The paper investigates the relation between maximum likelihood and minimum $I$-divergence estimates of unknown parameters and studies the asymptotic behaviour of the likelihood ratio maximum. Observations are assumed to be done in the continuous time.
LA  - eng
KW  - maximum likelihood estimation; information divergence; Gaussian process; autoregressive processes; maximum likelihood estimation; information divergence; Gaussian process; autoregressive processes
UR  - http://eudml.org/doc/33355
ER  - 
References
top- Anděl J., Statistical Analysis of Time Series (in Czech), SNTL, Prague 1976
 - Dzhaparidze K., Parameter Estimation and Hypothesis Testing in Spectral Analysis of Stationary Time Series, (Springer Series in Statistics.) Springer Verlag, Berlin 1986 Zbl0584.62157MR0812272
 - Hájek J., On the simple linear model for Gaussian processes, In: Trans. of the 2nd Prague Conference, Academia, Prague 1959, pp. 185–197 (1959)
 - Hájek J., On linear statistical problems in stochastic processes, Czechoslovak Math. J. 12 (87) (1962), 404–444 (1962) MR0152090
 - Michálek J., Asymptotic Rényi’s rate of Gaussian processes, Problems Control Inform. Theory 19 (1990), 3, 209–227 (1990) Zbl0705.62079
 - Michálek J., Maximum likelihood principle and -divergence: observations in discrete time, Kybernetika 34 (1998), 265–288 (1998) MR1640966
 - Pisarenko V. F., On absolute continuity of the measures corresponding to a rational spectral density function (in Russian), Teor. Veroyatnost. i Primenen. IV (1959), 481–481 (1959)
 - Pisarenko V. F., On parameter estimations of a Gaussian stationary processes with a spectral density function (in Russian), Lithuanian Math. J. (1962) (1962)
 - Rozanov J. A., On application a central limit theorem, In: Proc. Fourth Berkeley Symp. Math. Stat. Prob., Berkeley 1961, Vol. 2 (1961)
 
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