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Volumn 13, Issue 6, 2001, Pages 833-850

Rates of convergence and asymptotic normality of kernel estimators for ergodic diffusion processes

Author keywords

Asymptotic normality; Ergodic diffusions; Nonparametric estimation; Rate of convergence

Indexed keywords


EID: 0042983816     PISSN: 10485252     EISSN: None     Source Type: Journal    
DOI: 10.1080/10485250108832880     Document Type: Article
Times cited : (16)

References (12)
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  • 4
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    • Efficient density estimation for ergodic diffusion processes
    • Yu. A. Kutoyants, Efficient density estimation for ergodic diffusion processes, Stat. Inference Stock. Process., 1, (1998), 131-155.
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    • Kutoyants, Yu.A.1
  • 5
    • 0345813660 scopus 로고    scopus 로고
    • Can we estimate the density's derivative with suroptimal rate?
    • A. Lucas, Can we estimate the density's derivative with suroptimal rate?, Stat. Inference Stock. Process., 1, (1998), 29-41.
    • (1998) Stat. Inference Stock. Process. , vol.1 , pp. 29-41
    • Lucas, A.1
  • 6
    • 0000517735 scopus 로고
    • Density estimation in a continuous-time stationary Markov process
    • H. T. Nguyen, Density estimation in a continuous-time stationary Markov process, Ann. Statist., 7, (1979), 341-348.
    • (1979) Ann. Statist. , vol.7 , pp. 341-348
    • Nguyen, H.T.1
  • 7
    • 0013046371 scopus 로고
    • Nonparanietric estimation of the drift coefficient in the diffusion equation
    • Pham Dinh Than, Nonparanietric estimation of the drift coefficient in the diffusion equation, Math. Operationsforsch. Statist. Ser. Statist., 12, (1981), 61-73.
    • (1981) Math. Operationsforsch. Statist. Ser. Statist. , vol.12 , pp. 61-73
    • Than, P.D.1
  • 8
    • 0001911642 scopus 로고
    • Joint asymptotic distribution of the estimated regression function at a finite number of distinct points
    • E. F. Schuster, Joint asymptotic distribution of the estimated regression function at a finite number of distinct points, Ann. Math. Statist., 43, (1972), 84-88.
    • (1972) Ann. Math. Statist. , vol.43 , pp. 84-88
    • Schuster, E.F.1
  • 11
    • 0007225709 scopus 로고    scopus 로고
    • On the uniform convergence of the empirical density of an ergodic diffusion
    • J. H. van Zanten, On the uniform convergence of the empirical density of an ergodic diffusion, Stat. Inference Stoch. Process., 3, (2000), 251-262.
    • (2000) Stat. Inference Stoch. Process. , vol.3 , pp. 251-262
    • Van Zanten, J.H.1
  • 12
    • 0347705594 scopus 로고    scopus 로고
    • Uniform convergence of curve estimators for ergodic diffusion processes
    • CWI Amsterdam
    • J. H. van Zanten, Uniform convergence of curve estimators for ergodic diffusion processes, CWI report PNA-R0006, CWI Amsterdam, (2000).
    • (2000) CWI Report , vol.PNA-R0006
    • Van Zanten, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.