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Volumn 12, Issue 3, 2009, Pages 251-268

The normal approximation rate for the drift estimator of multidimensional diffusions

Author keywords

Drift estimation; Multidimensional diffusion process; Nonparametric estimation; Uniform central limit theorem

Indexed keywords


EID: 76049107157     PISSN: 13870874     EISSN: 15729311     Source Type: Journal    
DOI: 10.1007/s11203-008-9032-5     Document Type: Article
Times cited : (1)

References (29)
  • 4
    • 34447567382 scopus 로고    scopus 로고
    • Nonparametric trend coefficient estimation for multidimensional diffusions
    • Bianchi A (2007) Nonparametric trend coefficient estimation for multidimensional diffusions. C R Acad Sci Paris 345(2): 101-105.
    • (2007) C R Acad Sci Paris , vol.345 , Issue.2 , pp. 101-105
    • Bianchi, A.1
  • 6
    • 0006705174 scopus 로고    scopus 로고
    • Asymptotic normality for kernels estimators of densities in discrete and continuous time
    • Bosq D, Merlevede F, Peligrad M (1999) Asymptotic normality for kernels estimators of densities in discrete and continuous time. J Multivar Anal 68(1): 78-95.
    • (1999) J Multivar Anal , vol.68 , Issue.1 , pp. 78-95
    • Bosq, D.1    Merlevede, F.2    Peligrad, M.3
  • 7
    • 0010780411 scopus 로고
    • Estimation de la variance d'un processus de diffusion dans le cas multidimensionnel
    • Série I: 999-1005
    • Brugière P (1991) Estimation de la variance d'un processus de diffusion dans le cas multidimensionnel. C R Acad Sci Paris, t 312(13), Série I: 999-1005.
    • (1991) C R Acad Sci Paris , vol.t 312 , Issue.13
    • Brugière, P.1
  • 8
    • 0001747804 scopus 로고
    • Théorème de limite centrale pour un estimateur non paramétrique de la variance d'un processus de diffusion multidimensionnel
    • Brugière P (1993) Théorème de limite centrale pour un estimateur non paramétrique de la variance d'un processus de diffusion multidimensionnel. Ann Inst Henri Poincaré, Probabilités et Statistiques 29(3): 357-389.
    • (1993) Ann Inst Henri Poincaré, Probabilités Et Statistiques , vol.29 , Issue.3 , pp. 357-389
    • Brugière, P.1
  • 9
    • 27444434260 scopus 로고    scopus 로고
    • Rates in the CLT for sums of dependent multiindexed random vectors
    • Bulinskii AV, Shashkin AP (2004) Rates in the CLT for sums of dependent multiindexed random vectors. J Math Sci 122(4): 3343-3358.
    • (2004) J Math Sci , vol.122 , Issue.4 , pp. 3343-3358
    • Bulinskii, A.V.1    Shashkin, A.P.2
  • 11
    • 38249043318 scopus 로고
    • On smoothed probability density estimation for stationary processes
    • Castellana JV, Leadbetter MR (1986) On smoothed probability density estimation for stationary processes. Stoch Process Appl 21: 179-193.
    • (1986) Stoch Process Appl , vol.21 , pp. 179-193
    • Castellana, J.V.1    Leadbetter, M.R.2
  • 18
    • 0020827762 scopus 로고
    • Probability density estimation from sampled data
    • Masry E (1983) Probability density estimation from sampled data. IEEE trans inf theory 29: 696-709.
    • (1983) IEEE Trans Inf Theory , vol.29 , pp. 696-709
    • Masry, E.1
  • 19
    • 3042975224 scopus 로고
    • Berry-Esseen type bound for density estimators of stationary Markov processes
    • Prakasa Rao BLS (1977) Berry-Esseen type bound for density estimators of stationary Markov processes. Bull Math Stat 17: 15-21.
    • (1977) Bull Math Stat , vol.17 , pp. 15-21
    • Prakasa Rao, B.L.S.1
  • 21
    • 1642501173 scopus 로고    scopus 로고
    • A representation formula for transition probability densities of diffusions and applications
    • Qian Z, Zheng W (2004) A representation formula for transition probability densities of diffusions and applications. Stoch Process Appl 111: 57-76.
    • (2004) Stoch Process Appl , vol.111 , pp. 57-76
    • Qian, Z.1    Zheng, W.2
  • 26
    • 0000342149 scopus 로고
    • Bounds for the mixing rate in the theory of stochastic equations
    • Veretennikov AY (1987) Bounds for the mixing rate in the theory of stochastic equations. Theory Probab Appl 32(2): 273-281.
    • (1987) Theory Probab Appl , vol.32 , Issue.2 , pp. 273-281
    • Veretennikov, A.Y.1
  • 27
    • 0031256573 scopus 로고    scopus 로고
    • On polynomial mixing bounds for stochastic differential equations
    • Veretennikov AY (1997) On polynomial mixing bounds for stochastic differential equations. Stoch Process Appl 70: 115-127.
    • (1997) Stoch Process Appl , vol.70 , pp. 115-127
    • Veretennikov, A.Y.1
  • 28
    • 0842299341 scopus 로고    scopus 로고
    • On Castellana-Leadbetter's condition for diffusion density estimation
    • Veretennikov AY (1999) On Castellana-Leadbetter's condition for diffusion density estimation. Statist Inf Stoch Proc 2: 1-9.
    • (1999) Statist Inf Stoch Proc , vol.2 , pp. 1-9
    • Veretennikov, A.Y.1
  • 29
    • 17544379171 scopus 로고    scopus 로고
    • On subexponential mixing rate for Markov processes
    • Veretennikov AY (2005) On subexponential mixing rate for Markov processes. Theory Probab Appl 49(1): 110-122.
    • (2005) Theory Probab Appl , vol.49 , Issue.1 , pp. 110-122
    • Veretennikov, A.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.