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Volumn 57, Issue 1, 1996, Pages 1-36

Asymptotic expansions for perturbed systems on wiener space: Maximum likelihood estimators

Author keywords

Asymptotic expansion; Malliavin calculus; Maximum likelihood estimator

Indexed keywords


EID: 0030119936     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1996.0019     Document Type: Article
Times cited : (12)

References (15)
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  • 2
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    • Kusuoka, S.1
  • 3
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    • The nonlinear transformation of Gaussian measure on Banach space and its absolute continuity, I
    • 3. KUSUOKA, S. 1982. The nonlinear transformation of Gaussian measure on Banach space and its absolute continuity, I, J. Fac. Sci. Univ. Tokyo Sect. IA 29 567-597.
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    • Kusuoka, S.1
  • 5
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    • Locally asymptotically normal families of distributions
    • 5. LE CAM, L. 1960. Locally asymptotically normal families of distributions, Univ. California Publ. Statist. 3 37-98.
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  • 7
    • 0003250388 scopus 로고
    • On a characterization of the Sobolev spaces over an abstract Wiener space
    • 7. SUGITA, H. 1985. On a characterization of the Sobolev spaces over an abstract Wiener space, J. Math. Kyoto Univ. 25 717-725.
    • (1985) J. Math. Kyoto Univ. , vol.25 , pp. 717-725
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  • 8
    • 0003309370 scopus 로고
    • Asymptotic expansion formulas of the Schilder type for a class of conditional Wiener functional integrations
    • (K. D. Elworthy and N. Ikeda, Eds.), Asymptotic problems in probability theory: Wiener functionals and asymptotics, Longman, Harlow, UK
    • 8. TAKANOBU, S., AND WATANABE, S. 1993. Asymptotic expansion formulas of the Schilder type for a class of conditional Wiener functional integrations (K. D. Elworthy and N. Ikeda, Eds.), Asymptotic problems in probability theory: Wiener functionals and asymptotics, Proceedings, the Taniguchi International Symposium, Sanda and Kyoto, 1990, pp. 194-241, Longman, Harlow, UK.
    • (1993) Proceedings, the Taniguchi International Symposium, Sanda and Kyoto, 1990 , pp. 194-241
    • Takanobu, S.1    Watanabe, S.2
  • 9
    • 0042408323 scopus 로고
    • Malliavin's calculus in terms of generalized Wiener functionals
    • Springer-Verlag, Berlin/Heidelberg/New York
    • 9. WATANABE, S. 1983. Malliavin's calculus in terms of generalized Wiener functionals, in "Lecture Notes in Control Inform. Sci.," Vol. 49, pp. 284-290, Springer-Verlag, Berlin/Heidelberg/New York.
    • (1983) Lecture Notes in Control Inform. Sci. , vol.49 , pp. 284-290
    • Watanabe, S.1
  • 11
    • 0002638391 scopus 로고
    • Analysis of Wiener functionals (Malliavin calculus) and its applications to heat kernels
    • 11. WATANABE, S. 1987. Analysis of Wiener functionals (Malliavin calculus) and its applications to heat kernels, Ann. Probab. 15 1-39.
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  • 12
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    • Asymptotic expansions of maximum likelihood estimators for small diffusions via the theory of Malliavin-Watanabe
    • 12. YOSHIDA, N. 1992. Asymptotic expansions of maximum likelihood estimators for small diffusions via the theory of Malliavin-Watanabe, Probab. Theory Related Fields 92 275-311.
    • (1992) Probab. Theory Related Fields , vol.92 , pp. 275-311
    • Yoshida, N.1
  • 13
    • 0011531228 scopus 로고
    • Asymptotic expansion for statistics related to small diffusion
    • 13. YOSHIDA, N. 1992. Asymptotic expansion for statistics related to small diffusion, J. Japan Statist. Soc. 22, No. 2, 139-159.
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    • Yoshida, N.1
  • 14
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    • Asymptotic expansion of Bayes estimators for small diffusions
    • 14. YOSHIDA, N. 1993. Asymptotic expansion of Bayes estimators for small diffusions, Probab. Theory Related Fields 95 429-450.
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  • 15
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    • 15. YOSHIDA, N. 1993. "Banach Space Valued Functionals and Smoothness of M-Estimators," Research Memorandum 494, Institute of Statistical Mathematics.
    • (1993) Research Memorandum 494
    • Yoshida, N.1


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