메뉴 건너뛰기




Volumn 11, Issue 4, 2005, Pages 643-664

On the rate of convergence of the maximum likelihood estimator in Brownian semimartingale models

Author keywords

Continuous semimartingale; Entropy; Exponential inequalities; Maximum likelihood estimation; Rate of convergence

Indexed keywords


EID: 33845663540     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/bj/1126126763     Document Type: Article
Times cited : (3)

References (23)
  • 1
    • 33845601796 scopus 로고    scopus 로고
    • Parameter estimation for some non-recurrent solutions of SDE
    • Dietz, H.M. and Kutoyants, Yu, A. (2003) Parameter estimation for some non-recurrent solutions of SDE. Statist. Decisions, 21(1), 29-45.
    • (2003) Statist. Decisions , vol.21 , Issue.1 , pp. 29-45
    • Dietz, H.M.1    Kutoyants, Yu.A.2
  • 3
    • 25144458756 scopus 로고    scopus 로고
    • On a problem of statistical inference in null recurrent diffusions
    • Höpfner, R. and Kutoyants, Yu.A. (2003) On a problem of statistical inference in null recurrent diffusions. Statist. Inference Stochastic Process. 6(1), 25-42.
    • (2003) Statist. Inference Stochastic Process , vol.6 , Issue.1 , pp. 25-42
    • Höpfner, R.1    Kutoyants, Yu.A.2
  • 12
    • 0033472042 scopus 로고    scopus 로고
    • A maximal inequality for continuous martingales and M-estimation in a Gaussian white noise model
    • Nishiyama, Y. (1999) A maximal inequality for continuous martingales and M-estimation in a Gaussian white noise model. Ann. Statist., 27, 675-696.
    • (1999) Ann. Statist. , vol.27 , pp. 675-696
    • Nishiyama, Y.1
  • 13
    • 0004275597 scopus 로고    scopus 로고
    • CWI Tract 128. Amsterdam: Centrum voor Wiskunde en Informatica
    • Nishiyama, Y. (2000) Entropy Methods for Martingales, CWI Tract 128. Amsterdam: Centrum voor Wiskunde en Informatica.
    • (2000) Entropy Methods for Martingales
    • Nishiyama, Y.1
  • 15
    • 0002753223 scopus 로고
    • The method of sieves and minimum contrast estimators
    • van de Geer, S.A. (1995a) The method of sieves and minimum contrast estimators. Math. Methods Statist., 4(1), 20-38.
    • (1995) Math. Methods Statist. , vol.4 , Issue.1 , pp. 20-38
    • Van De Geer, S.A.1
  • 16
    • 21344465088 scopus 로고
    • Exponential inequalities for martingales, with application to maximum likelihood estimation for counting processes
    • van de Geer, S.A. (1995b) Exponential inequalities for martingales, with application to maximum likelihood estimation for counting processes. Ann. Statist., 23, 1779-1801.
    • (1995) Ann. Statist. , vol.23 , pp. 1779-1801
    • Van De Geer, S.A.1
  • 18
    • 33845671407 scopus 로고    scopus 로고
    • On Hoeffding's inequality for dependent random variables
    • Boston: Birkhäuser
    • van de Geer, S.A. (2002) On Hoeffding's inequality for dependent random variables. In Empirical Process Techniques for Dependent Data, pp. 161-169. Boston: Birkhäuser.
    • (2002) Empirical Process Techniques for Dependent Data , pp. 161-169
    • Van De Geer, S.A.1
  • 20
    • 0035541829 scopus 로고    scopus 로고
    • A note on consistent estimation of multivariate parameters in ergodic diffusion models
    • van Zanten, J.H. (2001) A note on consistent estimation of multivariate parameters in ergodic diffusion models. Scand. J. Statist., 28, 617-623.
    • (2001) Scand. J. Statist. , vol.28 , pp. 617-623
    • Van Zanten, J.H.1
  • 21
    • 0042863330 scopus 로고    scopus 로고
    • On empirical processes for ergodic diffusions and rates of convergence of M-cstimators
    • van Zanten, J.H. (2003a) On empirical processes for ergodic diffusions and rates of convergence of M-cstimators. Scand. J. Statist., 30, 443-458.
    • (2003) Scand. J. Statist. , vol.30 , pp. 443-458
    • Van Zanten, J.H.1
  • 22
    • 23244446675 scopus 로고    scopus 로고
    • On uniform laws of large numbers for ergodic diffusions and consistency of estimators
    • van Zanten, J.H. (2003b) On uniform laws of large numbers for ergodic diffusions and consistency of estimators. Statist. Inference Stochastic Process., 6(2), 199-213.
    • (2003) Statist. Inference Stochastic Process. , vol.6 , Issue.2 , pp. 199-213
    • Zanten, J.H.1
  • 23
    • 21844517288 scopus 로고
    • Probability inequalities for likelihood ratios and convergence rates of sieve MLEs
    • Wong, W.H. and Shen, X. (1995) Probability inequalities for likelihood ratios and convergence rates of sieve MLEs. Ann. Statist., 23, 339-362.
    • (1995) Ann. Statist. , vol.23 , pp. 339-362
    • Wong, W.H.1    Shen, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.