Note on the moderate deviation principle of maximum likelihood estimator

Acta Applicandae Mathematicae

Volumn 110, Issue 2, 2010, Pages 863-869

  Miao, Y ^a   Chen, Ying Xia ^b  

^a HENAN NORMAL UNIVERSITY   (China)

^b PINGDINGSHAN UNIVERSITY   (China)

Author keywords

Fisher information; Maximum likelihood estimator; Moderate deviations

Indexed keywords

FISHER INFORMATION MATRIX;

FISHER INFORMATION; MAXIMUM LIKELIHOOD ESTIMATOR; MAXIMUM LIKELIHOOD ESTIMATORS (MLE); MODERATE DEVIATION PRINCIPLE; MODERATE-DEVIATIONS;

MAXIMUM LIKELIHOOD ESTIMATION;

EID: 77955419026     PISSN: 01678019     EISSN: 15729036     Source Type: Journal    
DOI: 10.1007/s10440-009-9479-4     Document Type: Article

References (9)

1. Dembo, A., Zeitouni, O.: Large Deviations Techniques and Applications, 2nd edn. Springer, New York (1998)
2. Gao, F.Q.: Moderate deviations for the maximum likelihood estimator. Stat. Probab. Lett. 55, 345-352 (2001)
3. Ibragimov, I.A., Has'miniskii, R.Z.: Statistical Estimation. Springer, New York (1979)
4. Ibragimov, I., Radavicius, M.: Probability of large deviations for the maximum likelihood estimator. Sov. Math. Dokl. 23(2), 403-406 (1981)
5. Miao, Y., Wang, J.X.: Large deviation inequalities for MLE and Bayes estimator in SDE with fractional Brownian motion. J. Math. (Wuhan) 28(4), 355-361 (2008)
6. Miao, Y.: Concentration inequality of maximum likelihood estimator. Preprint
7. Puhalskii, A., Spokoiny, V.: On large-deviation efficiency in statistical inference. Bernoulli 4(2), 203-272 (1998)
8. Wu, L.: An introduction to large deviations. In: Yan, J.A., Peng, S., Fang, S., Wu, L. (eds.) Several Topics in Stochastic Analysis, pp. 225-336. Press of Sciences of China, Beijing (1997) (in Chinese)
9. Xiao, Z.H., Liu, L.Q.: Moderate deviations of maximum likelihood estimator for independent not identically distributed case. Stat. Probab. Lett. 76, 1056-1064 (2006)