메뉴 건너뛰기




Volumn 14, Issue , 2009, Pages 2287-2309

Density formula and concentration inequalities with Malliavin calculus

Author keywords

Concentration inequality; Density; Fractional Brownian motion; Malliavin calculus; Suprema of Gaussian processes

Indexed keywords


EID: 77949567856     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v14-707     Document Type: Article
Times cited : (111)

References (21)
  • 1
    • 0004176753 scopus 로고
    • An Introduction to Continuity, Extrema, and Related Topics for General Gaussian Processes
    • Adler, R.J. (1990). An Introduction to Continuity, Extrema, and Related Topics for General Gaussian Processes, IMS Lecture Notes-Monograph Series.
    • (1990) IMS Lecture Notes-Monograph Series
    • Adler, R.J.1
  • 3
    • 78649855519 scopus 로고    scopus 로고
    • Applications of Random Fields and Geometry
    • Adler, R.J.; Taylor, J.; Worsely, K.J. (2008). Applications of Random Fields and Geometry; Foundations and Case Studies. In preparation. First four chapters available at http://iew3.technion.ac.il/∼radler/hrf.pdf.
    • (2008) Foundations and Case Studies
    • Adler, R.J.1    Taylor, J.2    Worsely, K.J.3
  • 4
    • 44449122948 scopus 로고    scopus 로고
    • A general expression for the distribution of the maximum of a Gaussian field and the approximation of the tail
    • Azais, J.M.; Wschebor, M. (2008). A general expression for the distribution of the maximum of a Gaussian field and the approximation of the tail. Stoch. Proc. Appl. 118 no. 7, 1190-1218.
    • (2008) Stoch. Proc. Appl , vol.118 , Issue.7 , pp. 1190-1218
    • Azais, J.M.1    Wschebor, M.2
  • 5
    • 34248179809 scopus 로고
    • Tail probabilities in Gauss space
    • Dublin, 1977. Lecture Notes in Math, Springer-Verlag
    • Borell, Ch. (1978). Tail probabilities in Gauss space. In Vector Space Measures and Applications, Dublin, 1977. Lecture Notes in Math. 644, 73-82. Springer-Verlag.
    • (1978) Vector Space Measures and Applications , vol.644 , pp. 73-82
    • Borell, C.1
  • 6
    • 70450259195 scopus 로고    scopus 로고
    • Exact confidence intervals for the Hurst parameter of a fractional Brownian motion
    • Breton, J.-C.; Nourdin, I.; Peccati, G. (2009). Exact confidence intervals for the Hurst parameter of a fractional Brownian motion. Electron. J. Statist. 3, 416-425.
    • (2009) Electron. J. Statist , vol.3 , pp. 416-425
    • Breton, J.-C.1    Nourdin, I.2    Peccati, G.3
  • 7
    • 33847617461 scopus 로고    scopus 로고
    • Stein's method for concentration inequalities
    • Chatterjee, S. (2007). Stein's method for concentration inequalities. Probab. Theory Relat. Fields 138, 305-321.
    • (2007) Probab. Theory Relat. Fields , vol.138 , pp. 305-321
    • Chatterjee, S.1
  • 9
    • 51949096024 scopus 로고    scopus 로고
    • Hitting times for Gaussian processes
    • Decreusefond, L.; Nualart, D. (2008). Hitting times for Gaussian processes. Ann. Probab. 36 (1), 319-330.
    • (2008) Ann. Probab , vol.36 , Issue.1 , pp. 319-330
    • Decreusefond, L.1    Nualart, D.2
  • 10
    • 0038319591 scopus 로고    scopus 로고
    • Concentration and deviation inequalities in infinite dimensions via covariance representations
    • Houdré, C.; Privault, N. (2002). Concentration and deviation inequalities in infinite dimensions via covariance representations. Bernoulli 8 (6), 697-720.
    • (2002) Bernoulli , vol.8 , Issue.6 , pp. 697-720
    • Houdré, C.1    Privault, N.2
  • 11
    • 0001315354 scopus 로고
    • Cube root asymptotics
    • Kim, J.; Pollard, D. (1990). Cube root asymptotics. Ann. Statist. 18, 191-219.
    • (1990) Ann. Statist , vol.18 , pp. 191-219
    • Kim, J.1    Pollard, D.2
  • 12
  • 13
    • 0042242907 scopus 로고    scopus 로고
    • Lower bounds for densities of uniformly elliptic random variables on Wiener space
    • Kohatsu-Higa, A. (2003). Lower bounds for densities of uniformly elliptic random variables on Wiener space. Probab. Theory Relat. Fields 126, 421-457.
    • (2003) Probab. Theory Relat. Fields , vol.126 , pp. 421-457
    • Kohatsu-Higa, A.1
  • 17
    • 0742271955 scopus 로고    scopus 로고
    • Exponential divergence estimates and heat kernel tail
    • Nualart, E. (2004). Exponential divergence estimates and heat kernel tail. C. R. Math. Acad. Sci. Paris 338 (1), 77-80.
    • (2004) C. R. Math. Acad. Sci. Paris , vol.338 , Issue.1 , pp. 77-80
    • Nualart, E.1
  • 18
    • 70349857937 scopus 로고    scopus 로고
    • Gaussian density estimates for solutions to quasilinear stochastic partial differential equations
    • Nualart, D.; Quer-Sardanyons, LI. (2009). Gaussian density estimates for solutions to quasilinear stochastic partial differential equations. Stoch. Proc. Appl., in press.
    • (2009) Stoch. Proc. Appl
    • Nualart, D.1    Quer-Sardanyons, L.I.2
  • 20
    • 69749116117 scopus 로고    scopus 로고
    • Stein's lemma, Malliavin calculus, and tail bounds, with application to polymer fluctuation exponent
    • Viens, F. (2009). Stein's lemma, Malliavin calculus, and tail bounds, with application to polymer fluctuation exponent. Stoch. Proc. Appl., in press.
    • (2009) Stoch. Proc. Appl.
    • Viens, F.1
  • 21
    • 34248582261 scopus 로고    scopus 로고
    • Supremum Concentration Inequality and Modulus of Continuity for Sub-nth Chaos Processes
    • Viens, F; Vizcarra, A. (2007). Supremum Concentration Inequality and Modulus of Continuity for Sub-nth Chaos Processes. J. Funct. Anal. 248, 1-26.
    • (2007) J. Funct. Anal , vol.248 , pp. 1-26
    • Viens, F.1    Vizcarra, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.