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Volumn 8, Issue 1, 2005, Pages 25-50

Classical method of moments for partially and discretely observed ergodic models

Author keywords

Ergodicity; Method of moments; Ornstein Uhlenbeck process driven by a L vy process; Partially and discretely observed model; Stochastic differential equation

Indexed keywords


EID: 18244403155     PISSN: 13870874     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:SISP.0000049120.83388.89     Document Type: Article
Times cited : (3)

References (27)
  • 1
    • 0002443909 scopus 로고    scopus 로고
    • Processes of Normal inverse Gaussian type
    • Barndorff-Nielsen, O. E.: Processes of Normal inverse Gaussian type, Finance Stochast. 2 (1998), 41-68.
    • (1998) Finance Stochast. , vol.2 , pp. 41-68
    • Barndorff-Nielsen, O.E.1
  • 2
    • 0010015860 scopus 로고    scopus 로고
    • Incorporation of a leverage effect in a stochastic volatility model
    • Department of Mathematical Sciences, Aarhus University
    • Barndorff-Nielsen, O. E. and Shephard, N.: Incorporation of a leverage effect in a stochastic volatility model. MaPhySto Research Report 1998-18, Department of Mathematical Sciences, Aarhus University, 1998.
    • (1998) MaPhySto Research Report , vol.1998 , Issue.18
    • Barndorff-Nielsen, O.E.1    Shephard, N.2
  • 3
    • 0141779890 scopus 로고    scopus 로고
    • Non-Gaussian OU based models and some of their uses in financial economics (with discussion)
    • Barndorff-Nielsen, O. E. and Shephard, N.: Non-Gaussian OU based models and some of their uses in financial economics (with discussion), J. Roy. Statist. Soc. Ser. B. 63 (2003), 167-241.
    • (2003) J. Roy. Statist. Soc. Ser. B. , vol.63 , pp. 167-241
    • Barndorff-Nielsen, O.E.1    Shephard, N.2
  • 4
    • 0000179871 scopus 로고    scopus 로고
    • Modelling by Lévy processes for financial econometrics
    • O. E. Barndorff-Nielsen, T. Mikosch and S. Resnick (eds), Birkhauser, Boston
    • Barndorff-Nielsen, O. E. and Shephard, N.: Modelling by Lévy processes for financial econometrics. In: O. E. Barndorff-Nielsen, T. Mikosch and S. Resnick (eds), Levy Processes: Theory and Applications, Birkhauser, Boston, pp. 283-318.
    • Levy Processes: Theory and Applications , pp. 283-318
    • Barndorff-Nielsen, O.E.1    Shephard, N.2
  • 6
    • 0032329029 scopus 로고    scopus 로고
    • Asymptotic normality of the maximum-likelihood estimator for general hidden Markov models
    • Bickel, P. J., Ritov, Y. and Rydén, T.: Asymptotic normality of the maximum-likelihood estimator for general hidden Markov models, Ann. Statist. 26 (1998), 1614-1635.
    • (1998) Ann. Statist. , vol.26 , pp. 1614-1635
    • Bickel, P.J.1    Ritov, Y.2    Rydén, T.3
  • 7
    • 0000038252 scopus 로고    scopus 로고
    • Asymptotics of the maximum likelihood estimator for general hidden Markov models
    • Douc, R. and Matias, C.: Asymptotics of the maximum likelihood estimator for general hidden Markov models, Bernoulli 7 (2003), 381-420.
    • (2003) Bernoulli , vol.7 , pp. 381-420
    • Douc, R.1    Matias, C.2
  • 9
    • 0003215606 scopus 로고    scopus 로고
    • Stochastic volatility models as hidden Markov models and statistical applications
    • Genon-Catalot, V., Jeantheau, T. and Laredo, C.: Stochastic volatility models as hidden Markov models and statistical applications. Bernoulli 6 (2000), 1051-1079.
    • (2000) Bernoulli , vol.6 , pp. 1051-1079
    • Genon-Catalot, V.1    Jeantheau, T.2    Laredo, C.3
  • 10
    • 0000414660 scopus 로고
    • Large sample properties of generalized method of moments estimators
    • Hansen, L. P.: Large sample properties of generalized method of moments estimators, Econometrica 50 (1982), 1029-1054.
    • (1982) Econometrica , vol.50 , pp. 1029-1054
    • Hansen, L.P.1
  • 12
    • 0033464820 scopus 로고    scopus 로고
    • Asymptotic normality of the maximum likelihood estimator in state space models
    • Jensen, J. L. and Petersen, N. V.: Asymptotic normality of the maximum likelihood estimator in state space models, Ann. Statist. 27 (1999), 514-535.
    • (1999) Ann. Statist. , vol.27 , pp. 514-535
    • Jensen, J.L.1    Petersen, N.V.2
  • 13
    • 0036005156 scopus 로고    scopus 로고
    • Estimation of continuous time processes via the empirical characteristic function
    • Jiang, G. J. and Knight, J. L.: Estimation of continuous time processes via the empirical characteristic function, J. Bus. Econ. Statist. 20, 198-212.
    • J. Bus. Econ. Statist. , vol.20 , pp. 198-212
    • Jiang, G.J.1    Knight, J.L.2
  • 15
    • 0034419862 scopus 로고    scopus 로고
    • Malliavin calculus, geometric mixing, and expansion of diffusion functionals
    • Kusuoka, S. and Yoshida, N.: Malliavin calculus, geometric mixing, and expansion of diffusion functionals, Probab. Theory Related Fields 116 (2000), 457-484.
    • (2000) Probab. Theory Related Fields , vol.116 , pp. 457-484
    • Kusuoka, S.1    Yoshida, N.2
  • 16
    • 18244392880 scopus 로고    scopus 로고
    • Stability in distribution for a class of diffusions with jump
    • Kwon, Y.: Stability in distribution for a class of diffusions with jump, Bull. Korean Math. Soc. 34 (1997), 287-293.
    • (1997) Bull. Korean Math. Soc. , vol.34 , pp. 287-293
    • Kwon, Y.1
  • 17
    • 18244374693 scopus 로고    scopus 로고
    • On multi-dimensional ornstein-uhlenbeck processes driven by a general Lévy process
    • forthcoming.
    • Masuda, H.: On multi-dimensional Ornstein-Uhlenbeck processes driven by a general Lévy process, Bernoulli (2004), forthcoming.
    • (2004) Bernoulli
    • Masuda, H.1
  • 18
    • 0542387874 scopus 로고
    • Invariance principles for dependent variables
    • McLeish, D. L.: Invariance principles for dependent variables, Z. Wahrsch. Verw. Gebiete 32 (1975), 165-175.
    • (1975) Z. Wahrsch. Verw. Gebiete , vol.32 , pp. 165-175
    • McLeish, D.L.1
  • 24
    • 0000867331 scopus 로고
    • Stationary processes of ornstein-uhlenbeck type
    • Sato, K. and Yamazato, M.: Stationary processes of Ornstein-Uhlenbeck type, Lect. Notes Math. 1021 (1983), 541-551.
    • (1983) Lect. Notes Math. , vol.1021 , pp. 541-551
    • Sato, K.1    Yamazato, M.2
  • 25
    • 0000953249 scopus 로고    scopus 로고
    • Prediction-based estimating functions
    • Sørensen, M.: Prediction-based estimating functions, Economet. J. 3 (2000), 123-147.
    • (2000) Economet. J. , vol.3 , pp. 123-147
    • Sørensen, M.1
  • 27
    • 0033622220 scopus 로고    scopus 로고
    • On polynomial mixing and convergence rate for stochastic difference and differential equations
    • Veretennikov, A. Y.: On polynomial mixing and convergence rate for stochastic difference and differential equations, Theory Probab. Appl. 44 (2000), 361-374.
    • (2000) Theory Probab. Appl. , vol.44 , pp. 361-374
    • Veretennikov, A.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.