메뉴 건너뛰기




Volumn 33, Issue 2, 2015, Pages 271-305

Non-Standard Skorokhod Convergence of Lévy-Driven Convolution Integrals in Hilbert Spaces

Author keywords

Convergence in probability; Integrated Ornstein Uhlenbeck process; L vy process; M1 Skorokhod topology; Stochastic convolution integral

Indexed keywords


EID: 84922140914     PISSN: 07362994     EISSN: 15329356     Source Type: Journal    
DOI: 10.1080/07362994.2014.988358     Document Type: Article
Times cited : (9)

References (28)
  • 2
    • 0038178133 scopus 로고    scopus 로고
    • Integrated OU processes and non-Gaussian OU-based stochastic volatility models
    • Barndorff-Nielsen, O.E. and Shephard, N. 2003. Integrated OU processes and non-Gaussian OU-based stochastic volatility models. Scandinavian Journal of Statistics 30(2):277–296.
    • (2003) Scandinavian Journal of Statistics , vol.30 , Issue.2 , pp. 277-296
    • Barndorff-Nielsen, O.E.1    Shephard, N.2
  • 5
    • 0036147649 scopus 로고    scopus 로고
    • Fractional kinetics for re-laxation and superdiffusion in a magnetic field
    • Chechkin, A.V., Gonchar, V.Yu., and Szydłowski, M. 2002. Fractional kinetics for re-laxation and superdiffusion in a magnetic field. Physics of Plasmas 9(1):78–88.
    • (2002) Physics of Plasmas , vol.9 , Issue.1 , pp. 78-88
    • Chechkin, A.V.1    Gonchar, V.Y.2    Szydłowski, M.3
  • 6
    • 0011300453 scopus 로고
    • On processes of Ornstein–Uhlenbeck type in Hilbert space
    • Chojnowska-Michalik, A. 1987. On processes of Ornstein–Uhlenbeck type in Hilbert space. Stochastics 21(3):251–286.
    • (1987) Stochastics , vol.21 , Issue.3 , pp. 251-286
    • Chojnowska-Michalik, A.1
  • 8
    • 84893678968 scopus 로고    scopus 로고
    • Small noise asymptotics and first passage times of in-tegrated Ornstein–Uhlenbeck processes driven by α-stable Lévy processes
    • Hintze, R. and Pavlyukevich, I. 2014. Small noise asymptotics and first passage times of in-tegrated Ornstein–Uhlenbeck processes driven by α-stable Lévy processes. Bernoulli 20(1):265–281.
    • (2014) Bernoulli , vol.20 , Issue.1 , pp. 265-281
    • Hintze, R.1    Pavlyukevich, I.2
  • 10
    • 0004201402 scopus 로고    scopus 로고
    • 2nd ed, Probability and Its Applications, Springer, New York:
    • Kallenberg, O. 2002. Foundations of Modern Probability, 2nd ed. Probability and Its Applications. Springer, New York.
    • (2002) Foundations of Modern Probability
    • Kallenberg, O.1
  • 12
    • 68349125769 scopus 로고    scopus 로고
    • Sufficient conditions for boundedness of moving average processes
    • Progress in Probability. Birkhäuser, Basel
    • Marcus, M.B. and Rosiński, J. 2003. Sufficient conditions for boundedness of moving average processes. In Stochastic Inequalities and Applications, vol. 33, 113–128. Progress in Probability. Birkhäuser, Basel.
    • (2003) Stochastic Inequalities and Applications , vol.33 , pp. 113-128
    • Marcus, M.B.1    Rosiński, J.2
  • 13
    • 16244415853 scopus 로고    scopus 로고
    • Continuity and boundedness of infinitely divisible processes: A Poisson point process approach
    • Marcus, M.B. and Rosiński, J. 2005. Continuity and boundedness of infinitely divisible processes: A Poisson point process approach. Journal of Theoretical Probability 18(1):109–160.
    • (2005) Journal of Theoretical Probability , vol.18 , Issue.1 , pp. 109-160
    • Marcus, M.B.1    Rosiński, J.2
  • 15
    • 0009717257 scopus 로고
    • On the continuity of Ornstein–Uhlenbeck processes in infinite dimensions
    • Millet, A. and Smoleński, W. 1992. On the continuity of Ornstein–Uhlenbeck processes in infinite dimensions. Probability Theory and Related Fields 92(4):529–547.
    • (1992) Probability Theory and Related Fields , vol.92 , Issue.4 , pp. 529-547
    • Millet, A.1    Smoleński, W.2
  • 16
    • 52149090313 scopus 로고    scopus 로고
    • One-dimensional space-discrete transport subject to Lévy perturbations
    • Pavlyukevich, I. and Sokolov, I.M. 2008. One-dimensional space-discrete transport subject to Lévy perturbations. Journal of Statistical Physics 33(1):205–215.
    • (2008) Journal of Statistical Physics , vol.33 , Issue.1 , pp. 205-215
    • Pavlyukevich, I.1    Sokolov, I.M.2
  • 17
    • 0038433776 scopus 로고    scopus 로고
    • Maximal inequalities and space-time regularity of stochastic convolutions
    • Peszat, S. and Seidler, J. 1998. Maximal inequalities and space-time regularity of stochastic convolutions. Mathematica Bohemica 123(1):7–32.
    • (1998) Mathematica Bohemica , vol.123 , Issue.1 , pp. 7-32
    • Peszat, S.1    Seidler, J.2
  • 19
    • 84871245887 scopus 로고    scopus 로고
    • Time regularity of solutions to linear equations with Lévy noise in infinite dimensions
    • Peszat, S. and Zabczyk, J. 2013. Time regularity of solutions to linear equations with Lévy noise in infinite dimensions. Stochastic Processes and their Applications 123(3):719–751.
    • (2013) Stochastic Processes and their Applications , vol.123 , Issue.3 , pp. 719-751
    • Peszat, S.1    Zabczyk, J.2
  • 20
    • 78049451468 scopus 로고    scopus 로고
    • Cylindrical Wiener processes
    • Lecture Notes in Mathematics 2006, Springer, New York:
    • Riedle, M. 2011. Cylindrical Wiener processes. In Séminaire de Probabilités XLIII. Lecture Notes in Mathematics 2006. Springer, New York.
    • (2011) Séminaire de Probabilités XLIII
    • Riedle, M.1
  • 23
    • 0002662601 scopus 로고
    • Regularity of Gaussian processes
    • Talagrand, M. 1987. Regularity of Gaussian processes. Acta Mathematica 159(1):99–149.
    • (1987) Acta Mathematica , vol.159 , Issue.1 , pp. 99-149
    • Talagrand, M.1
  • 24
    • 0007387223 scopus 로고
    • Regularity of infinitely divisible processes
    • Talagrand, M. 1993. Regularity of infinitely divisible processes. Annals of Probability 21(1):362–432.
    • (1993) Annals of Probability , vol.21 , Issue.1 , pp. 362-432
    • Talagrand, M.1
  • 26
    • 0003176179 scopus 로고    scopus 로고
    • Nonsymmetric Ornstein-Uhlenbeck semigroups in Banach spaces
    • van Neerven, J.M.A.M. 1998. Nonsymmetric Ornstein-Uhlenbeck semigroups in Banach spaces. Journal of Functional Analysis 155(2):495–535.
    • (1998) Journal of Functional Analysis , vol.155 , Issue.2 , pp. 495-535
    • van Neerven, J.M.A.M.1
  • 27
    • 15844406211 scopus 로고    scopus 로고
    • Stochastic integration of functions with values in a Banach space
    • van Neerven, J.M.A.M. and Weis, L. 2005. Stochastic integration of functions with values in a Banach space. Studia Mathematica 166(2):131–170.
    • (2005) Studia Mathematica , vol.166 , Issue.2 , pp. 131-170
    • van Neerven, J.M.A.M.1    Weis, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.