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Volumn 116, Issue 4, 2000, Pages 457-484

Malliavin calculus, geometric mixing, and expansion of diffusion functionals

Author keywords

Asymptotic expansion; Diffusion; Malliavin calculus; Mixing; Semimartingale; Markov process

Indexed keywords


EID: 0034419862     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400070001     Document Type: Article
Times cited : (49)

References (17)
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  • 4
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    • Springer
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  • 7
    • 0000299549 scopus 로고
    • Asymptotic expansions for sums of weakly dependent random vectors
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    • Götze, F.1    Hipp, C.2
  • 8
    • 21844492049 scopus 로고
    • Asymptotic distribution of statistics in time series
    • Götze, F., Hipp, C.: Asymptotic distribution of statistics in time series. Ann. Statist. 22, 211-239 (1994)
    • (1994) Ann. Statist. , vol.22 , pp. 211-239
    • Götze, F.1    Hipp, C.2
  • 9
    • 0039737644 scopus 로고
    • Memoirs, 10. Aarhus University, Institute of Mathematics, Department of Theoretical Statistics, Aarhus
    • Jensen, J. L.: Asymptotic expansions for sums of dependent variables. Memoirs, 10. Aarhus University, Institute of Mathematics, Department of Theoretical Statistics, Aarhus, 1986
    • (1986) Asymptotic Expansions for Sums of Dependent Variables
    • Jensen, J.L.1
  • 11
    • 85132364916 scopus 로고    scopus 로고
    • Exponential convergence of Langevin distributions and their discrete approximations
    • Roberts, G.O., Tweedie, R.L.: Exponential convergence of Langevin distributions and their discrete approximations. Bernoulli 2(4), 341-363 (1996)
    • (1996) Bernoulli , vol.2 , Issue.4 , pp. 341-363
    • Roberts, G.O.1    Tweedie, R.L.2
  • 12
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    • Third order asymptotic expansions for diffusion processes
    • The Institute of Statistical Mathematics, Tokyo
    • Sakamoto, Y., Yoshida, N.: Third order asymptotic expansions for diffusion processes. Cooperative Research Report 107, 53-60, The Institute of Statistical Mathematics, Tokyo (1998)
    • (1998) Cooperative Research Report , vol.107 , pp. 53-60
    • Sakamoto, Y.1    Yoshida, N.2
  • 15
    • 0000431807 scopus 로고
    • Asymptotic expansion for small diffusions via the theory of Malliavin-Watanabe
    • Yoshida, N: Asymptotic expansion for small diffusions via the theory of Malliavin-Watanabe. Prob. Theory Related Fields. 92, 275-311 (1992)
    • (1992) Prob. Theory Related Fields , vol.92 , pp. 275-311
    • Yoshida, N.1
  • 16
    • 0038911472 scopus 로고    scopus 로고
    • Malliavin calculus and asymptotic expansion for martingales
    • Yoshida, N.: Malliavin calculus and asymptotic expansion for martingales. Probab. Theory Relat. Fields 109, 301-342 (1997)
    • (1997) Probab. Theory Relat. Fields , vol.109 , pp. 301-342
    • Yoshida, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.