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Volumn 61, Issue 3, 2009, Pages 629-661

Third-order asymptotic expansion of M-estimators for diffusion processes

Author keywords

Asymptotic expansion; Diffusion process; M estimator

Indexed keywords

ASYMPTOTIC EXPANSION; ASYMPTOTIC PROPERTIES; CUMULANTS; DIFFUSION PROCESS; DRIFT FUNCTIONS; M-ESTIMATOR; M-ESTIMATORS; MIXING PROCESS; OBSERVED DATA; STOCHASTIC INTEGRAL; THIRD ORDER; UNKNOWN PARAMETERS;

EID: 68649093023     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-008-0190-4     Document Type: Article
Times cited : (10)

References (25)
  • 1
    • 0040070950 scopus 로고
    • Stochastic differential equations and diffusion processes
    • Amsterdam: North-Holland
    • Ikeda, N., Watanabe, S. (1989). Stochastic differential equations and diffusion processes. In North-Holland mathematical library (Vol. 24). Amsterdam: North-Holland.
    • (1989) North-Holland Mathematical Library , vol.24
    • Ikeda, N.1    Watanabe, S.2
  • 2
    • 0003329017 scopus 로고
    • Stochastic flows and stochastic differential equations
    • Cambridge: Cambridge University Press
    • Kunita, H. (1990). Stochastic flows and stochastic differential equations. In Cambridge studies in advanced mathematics (Vol. 24). Cambridge: Cambridge University Press.
    • (1990) Cambridge Studies in Advanced Mathematics , vol.24
    • Kunita, H.1
  • 3
    • 0034419862 scopus 로고    scopus 로고
    • Malliavin calculus, geometric mixing, and expansion of diffusion functionals
    • S. Kusuoka N. Yoshida 2000 Malliavin calculus, geometric mixing, and expansion of diffusion functionals Probability Theory and Related Fields 116 4 457 484
    • (2000) Probability Theory and Related Fields , vol.116 , Issue.4 , pp. 457-484
    • Kusuoka, S.1    Yoshida, N.2
  • 4
    • 0003656332 scopus 로고
    • Parameter estimation for stochastic processes
    • Berlin: Heldermann Verlag. (Translated from the Russian and edited by B. L. S. Prakasa Rao)
    • Kutoyants, Y. A. (1984). Parameter estimation for stochastic processes. In Research and exposition in mathematics (Vol. 6). Berlin: Heldermann Verlag. (Translated from the Russian and edited by B. L. S. Prakasa Rao).
    • (1984) Research and Exposition in Mathematics , vol.6
    • Kutoyants, Y.A.1
  • 5
    • 0003954758 scopus 로고
    • Identification of dynamical systems with small noise
    • Dordrecht: Kluwer
    • Kutoyants, Y. (1994). Identification of dynamical systems with small noise. In Mathematics and its applications (Vol. 300). Dordrecht: Kluwer.
    • (1994) Mathematics and Its Applications , vol.300
    • Kutoyants, Y.1
  • 7
    • 18244374693 scopus 로고    scopus 로고
    • On multidimensional Ornstein-Uhlenbeck processes driven by a general Lévy process
    • H. Masuda 2004 On multidimensional Ornstein-Uhlenbeck processes driven by a general Lévy process Bernoulli 10 1 97 120
    • (2004) Bernoulli , vol.10 , Issue.1 , pp. 97-120
    • Masuda, H.1
  • 8
    • 0001340189 scopus 로고
    • Stability of Markovian processes. I. Criteria for discrete-time chains
    • S.P. Meyn R.L. Tweedie 1992 Stability of Markovian processes. I. Criteria for discrete-time chains Advances in Applied Probability 24 3 542 574
    • (1992) Advances in Applied Probability , vol.24 , Issue.3 , pp. 542-574
    • Meyn, S.P.1    Tweedie, R.L.2
  • 9
    • 0000684659 scopus 로고
    • Stability of Markovian processes. II. Continuous-time processes and sampled chains
    • S.P. Meyn R.L. Tweedie 1993 Stability of Markovian processes. II. Continuous-time processes and sampled chains Advances in Applied Probability 25 3 487 517
    • (1993) Advances in Applied Probability , vol.25 , Issue.3 , pp. 487-517
    • Meyn, S.P.1    Tweedie, R.L.2
  • 10
    • 0001340188 scopus 로고
    • Stability of Markovian processes. III. Foster-Lyapunov criteria for continuous-time processes
    • S.P. Meyn R.L. Tweedie 1993 Stability of Markovian processes. III. Foster-Lyapunov criteria for continuous-time processes Advances in Applied Probability 25 3 518 548
    • (1993) Advances in Applied Probability , vol.25 , Issue.3 , pp. 518-548
    • Meyn, S.P.1    Tweedie, R.L.2
  • 11
    • 0035565829 scopus 로고    scopus 로고
    • On the Poisson equation and diffusion approximation I.
    • E. Pardoux A.Y. Veretennikov 2001 On the Poisson equation and diffusion approximation I. The Annals of Probability 29 3 1061 1085
    • (2001) The Annals of Probability , vol.29 , Issue.3 , pp. 1061-1085
    • Pardoux, E.1    Veretennikov, A.Y.2
  • 12
    • 0038336352 scopus 로고    scopus 로고
    • On Poisson equation and diffusion approximation II
    • È. Pardoux A.Y. Veretennikov 2003 On Poisson equation and diffusion approximation II The Annals of Probability 31 3 1166 1192
    • (2003) The Annals of Probability , vol.31 , Issue.3 , pp. 1166-1192
    • Pardoux, E.1    Veretennikov, A.Y.2
  • 13
    • 0004214344 scopus 로고
    • Parametric statistical theory
    • Berlin: Walter de Gruyter Co. (With the assistance of R. Hamböker)
    • Pfanzagl, J. (1994). Parametric statistical theory. de Gruyter textbook. Berlin: Walter de Gruyter Co. (With the assistance of R. Hamböker).
    • (1994) De Gruyter Textbook
    • Pfanzagl, J.1
  • 14
    • 0003812051 scopus 로고    scopus 로고
    • Statistical inference for diffusion type processes
    • London: Edward Arnold
    • Prakasa Rao, B. L. S. (1999). Statistical inference for diffusion type processes. In Kendall's library of Statistics (Vol. 8). London: Edward Arnold.
    • (1999) Kendall's Library of Statistics , vol.8
    • Prakasa Rao, B.L.S.1
  • 19
    • 10444228627 scopus 로고    scopus 로고
    • Asymptotic expansion formulas for functionals of ε-Markov processes with a mixing property
    • Y. Sakamoto N. Yoshida 2004 Asymptotic expansion formulas for functionals of ε-Markov processes with a mixing property Annals of the Institute of Statistical Mathematics 56 3 545 597
    • (2004) Annals of the Institute of Statistical Mathematics , vol.56 , Issue.3 , pp. 545-597
    • Sakamoto, Y.1    Yoshida, N.2
  • 21
    • 0000342149 scopus 로고
    • Bounds for the mixing rate in the theory of stochastic equations
    • A.Y. Veretennikov 1987 Bounds for the mixing rate in the theory of stochastic equations Theory of Probability and its Applications 32 2 273 281
    • (1987) Theory of Probability and Its Applications , vol.32 , Issue.2 , pp. 273-281
    • Veretennikov, A.Y.1
  • 22
    • 0031256573 scopus 로고    scopus 로고
    • On polynomial mixing bounds for stochastic differential equations
    • A.Y. Veretennikov 1997 On polynomial mixing bounds for stochastic differential equations Stochastic Processes and their Applications 70 1 115 127
    • (1997) Stochastic Processes and Their Applications , vol.70 , Issue.1 , pp. 115-127
    • Veretennikov, A.Y.1
  • 23
    • 0038911472 scopus 로고    scopus 로고
    • Malliavin calculus and asymptotic expansion for martingales
    • DOI 10.1007/s004400050134
    • N. Yoshida 1997 Malliavin calculus and asymptotic expansion for martingales Probability Theory and Related Fields 109 3 301 342 (Pubitemid 127148339)
    • (1997) Probability Theory and Related Fields , vol.109 , Issue.3 , pp. 301-342
    • Yoshida, N.1
  • 24
    • 4043162104 scopus 로고    scopus 로고
    • Partial mixing and Edgeworth expansion
    • N. Yoshida 2004 Partial mixing and Edgeworth expansion Probability Theory and Related Fields 129 4 559 624
    • (2004) Probability Theory and Related Fields , vol.129 , Issue.4 , pp. 559-624
    • Yoshida, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.