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Volumn 23, Issue 10, 2010, Pages 1305-1309

Concentration inequality of maximum likelihood estimator

Author keywords

Concentration inequality; MLE

Indexed keywords

CONCENTRATION INEQUALITY; IDENTICALLY DISTRIBUTED RANDOM VARIABLES; MAXIMUM LIKELIHOOD ESTIMATOR; METRIC SPACES;

EID: 77955422531     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2010.06.019     Document Type: Article
Times cited : (20)

References (16)
  • 3
    • 5244277103 scopus 로고
    • Probability of large deviations for the maximum likelihood estimator
    • I. Ibragimov, and M. Radavicius Probability of large deviations for the maximum likelihood estimator Soviet Math. Dokl. 23 2 1981 403 406
    • (1981) Soviet Math. Dokl. , vol.23 , Issue.2 , pp. 403-406
    • Ibragimov, I.1    Radavicius, M.2
  • 4
    • 0007220735 scopus 로고
    • Large deviation approximations for maximum likelihood estimators
    • I.M. Skovgaard Large deviation approximations for maximum likelihood estimators Probab. Math. Statist. 6 2 1985 89 107
    • (1985) Probab. Math. Statist. , vol.6 , Issue.2 , pp. 89-107
    • Skovgaard, I.M.1
  • 5
    • 0037628917 scopus 로고
    • Large deviations for the maximum likelihood estimators
    • Springer Berlin
    • A.A. Mogulskii Large deviations for the maximum likelihood estimators Lecture Notes in Math. vol. 1299 1988 Springer Berlin 326 331
    • (1988) Lecture Notes in Math. , vol.1299 , pp. 326-331
    • Mogulskii, A.A.1
  • 6
    • 0348088008 scopus 로고    scopus 로고
    • On large-deviation efficiency in statistical inference
    • A. Puhalskii, and V. Spokoiny On large-deviation efficiency in statistical inference Bernoulli 4 2 1998 203 272
    • (1998) Bernoulli , vol.4 , Issue.2 , pp. 203-272
    • Puhalskii, A.1    Spokoiny, V.2
  • 7
    • 0013131318 scopus 로고    scopus 로고
    • Moderate deviations for the maximum likelihood estimator
    • F.Q. Gao Moderate deviations for the maximum likelihood estimator Statist. Probability Letter 55 2001 345 352
    • (2001) Statist. Probability Letter , vol.55 , pp. 345-352
    • Gao, F.Q.1
  • 8
    • 33645549267 scopus 로고    scopus 로고
    • Moderate deviations of maximum likelihood estimator for independent not identically distributed case
    • Z.H. Xiao, and L.Q. Liu Moderate deviations of maximum likelihood estimator for independent not identically distributed case Statist. Probab. Lett. 76 2006 1056 1064
    • (2006) Statist. Probab. Lett. , vol.76 , pp. 1056-1064
    • Xiao, Z.H.1    Liu, L.Q.2
  • 9
    • 77955419026 scopus 로고    scopus 로고
    • Note on the moderate deviation principle of maximum likelihood estimator
    • Y. Miao, and Y.X. Chen Note on the moderate deviation principle of maximum likelihood estimator Acta Appl. Math. 110 2 2010 863 869
    • (2010) Acta Appl. Math. , vol.110 , Issue.2 , pp. 863-869
    • Miao, Y.1    Chen, Y.X.2
  • 10
    • 77955424987 scopus 로고    scopus 로고
    • Large deviation inequalities for MLE and Bayes estimator in SDE with fractional Brownian motion
    • Y. Miao, and J.X. Wang Large deviation inequalities for MLE and Bayes estimator in SDE with fractional Brownian motion J. Math. (Wuhan) 28 4 2008 355 361
    • (2008) J. Math. (Wuhan) , vol.28 , Issue.4 , pp. 355-361
    • Miao, Y.1    Wang, J.X.2
  • 12
    • 0002829137 scopus 로고    scopus 로고
    • Exponential integrability and transportation cost related to logarithmic Soblev inequalities
    • S. Bobkov, and F. Gtze Exponential integrability and transportation cost related to logarithmic Soblev inequalities J. Funct. Anal. 163 1999 1 28
    • (1999) J. Funct. Anal. , vol.163 , pp. 1-28
    • Bobkov, S.1    Gtze, F.2
  • 13
    • 4544338134 scopus 로고    scopus 로고
    • Transportation cost-information inequalities and applications to random dynamical systems and diffusions
    • H. Djellout, A. Guillin, and L. Wu Transportation cost-information inequalities and applications to random dynamical systems and diffusions Ann. Probab. 32 3B 2004 2702 2732
    • (2004) Ann. Probab. , vol.32 , Issue.3 B , pp. 2702-2732
    • Djellout, H.1    Guillin, A.2    Wu, L.3
  • 14
    • 0000458262 scopus 로고    scopus 로고
    • Concentration of measure and logarithmic Sobolev inequalities
    • M. Ledoux Concentration of measure and logarithmic Sobolev inequalities Lecture Notes in Math. 1709 1999 120 216
    • (1999) Lecture Notes in Math. , vol.1709 , pp. 120-216
    • Ledoux, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.