Maximum likelihood principle and -divergence: discrete time observations
Kybernetika (1998)
- Volume: 34, Issue: 3, page [265]-288
- ISSN: 0023-5954
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topMichálek, Jiří. "Maximum likelihood principle and $I$-divergence: discrete time observations." Kybernetika 34.3 (1998): [265]-288. <http://eudml.org/doc/33354>.
@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 discrete time.},
author = {Michálek, Jiří},
journal = {Kybernetika},
keywords = {maximum likelihood estimate; information divergence; exponential families; discrete time process; autoregressive sequences; maximum likelihood estimate; information divergence; exponential families; discrete time process; autoregressive sequences},
language = {eng},
number = {3},
pages = {[265]-288},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Maximum likelihood principle and $I$-divergence: discrete time observations},
url = {http://eudml.org/doc/33354},
volume = {34},
year = {1998},
}
TY - JOUR
AU - Michálek, Jiří
TI - Maximum likelihood principle and $I$-divergence: discrete time observations
JO - Kybernetika
PY - 1998
PB - Institute of Information Theory and Automation AS CR
VL - 34
IS - 3
SP - [265]
EP - 288
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 discrete time.
LA - eng
KW - maximum likelihood estimate; information divergence; exponential families; discrete time process; autoregressive sequences; maximum likelihood estimate; information divergence; exponential families; discrete time process; autoregressive sequences
UR - http://eudml.org/doc/33354
ER -
References
top- Anderson T. W., The Statistical Analysis of Time Series, Wiley, New York 1971 Zbl0835.62074MR0283939
- Basseville M., Benveniste A., Detection of Abrupt Changes in Signals and Dynamical Systems, Springer–Verlag, Berlin 1986 Zbl0578.93056
- Krishnaiah P. R., Miao B. Q., Review about estimation of change points, In: Handbook of Statistics (P. R. Krishnaiah and C. R. Rao, eds.), Elsevier Sci. Publishers, Amsterdam 1988, Vol. 7, pp. 375–402 (1988)
- Kullback S., Information Theory and Statistics (in Russian), Nauka, Moscow 1967. Translated from the English original (1967)
- Kupperman M., Further application of information theory to multivariate analysis and statistical inference, Ann. Math. Statist. 27 (1956), 1184 (1956)
- Kűchler V., Sorensen M., 10.2307/1403382, Internat. Statist. Rev. (1989), 123–144 (1989) DOI10.2307/1403382
- Michálek J., Yule–Walker estimates and asymptotic -divergence rate, Problems Control Inform. Theory 19 (1990), 5–6, 387–398 (1990) Zbl0744.62126MR1086831
- Michálek J., A method of detecting changes in the behaviour of locally stationary sequences, Kybernetika 31 (1995), 1, 17–29 (1995) Zbl0868.62070MR1324658
- Morales D., Pardo L., Vajda I., About classical and some new statistics for testing hypothesis in parametric models, J. Multivariate Anal. (to appear) MR1467878
- Page E., 10.1093/biomet/41.1-2.100, Biometrika 41 (1954), 100–115 (1954) Zbl0056.38002MR0088850DOI10.1093/biomet/41.1-2.100
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