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Volumn 21, Issue 4, 2005, Pages 967-980

Representations of the first hitting time density of an ornstein-uhlenbeck process 1

Author keywords

Bessel bridge; Fourier transform; Hitting time density; Laplace transform; Ornstein Uhlenbeck process

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; PROBABILITY DENSITY FUNCTION;

EID: 33644971385     PISSN: 15326349     EISSN: 15324214     Source Type: Journal    
DOI: 10.1080/15326340500294702     Document Type: Article
Times cited : (199)

References (22)
  • 1
    • 27544447048 scopus 로고
    • The Fourier-series method for inverting transforms of probability distributions
    • Abate, J.; Whitt, W. The Fourier-series method for inverting transforms of probability distributions. Queueing Systems Theory Appl. 1992, 10, 5-87.
    • (1992) Queueing Systems Theory Appl. , vol.10 , pp. 5-87
    • Abate, J.1    Whitt, W.2
  • 3
    • 0002181147 scopus 로고
    • First exit times from a square root boundary
    • Breiman, L. First exit times from a square root boundary. Fifth Berkeley Symposium. 1967, 2, 9-16.
    • (1967) Fifth Berkeley Symposium , vol.2 , pp. 9-16
    • Breiman, L.1
  • 4
    • 0033426760 scopus 로고    scopus 로고
    • Approximations of boundary crossing probabilities for a Brownian motion
    • Frishling, V.; Kordzakhia, N.; Novikov, A. Approximations of boundary crossing probabilities for a Brownian motion. J. Appl. Prob. 1999, 36, 1019-1030.
    • (1999) J. Appl. Prob. , vol.36 , pp. 1019-1030
    • Frishling, V.1    Kordzakhia, N.2    Novikov, A.3
  • 5
    • 0003260362 scopus 로고    scopus 로고
    • A Monte Carlo method for the simulation of first passage times of diffusion processes
    • Giraudo, M.T.; Sacerdote, L.; Zucca, C. A Monte Carlo method for the simulation of first passage times of diffusion processes. Methodol. Comput. Appl. Probab. 2001, 3, 215-231.
    • (2001) Methodol. Comput. Appl. Probab. , vol.3 , pp. 215-231
    • Giraudo, M.T.1    Sacerdote, L.2    Zucca, C.3
  • 6
    • 1842665902 scopus 로고    scopus 로고
    • A clarification note about hitting times densities for Ornstein-Uhlenbeck processes
    • Göing-Jaeschke, A.; Yor, M. A clarification note about hitting times densities for Ornstein-Uhlenbeck processes. Finance Stoch. 2003, 7, 413-415.
    • (2003) Finance Stoch. , vol.7 , pp. 413-415
    • Göing-Jaeschke, A.1    Yor, M.2
  • 11
    • 0001572711 scopus 로고
    • Passage time distributions for Gaussian Markov (Ornstein-Uhlenbeck) statistical processes
    • Keilson, J.; Ross, H.F. Passage time distributions for Gaussian Markov (Ornstein-Uhlenbeck) statistical processes. Selected Tables in Mathematical Statistics 1975, III, 233-327.
    • (1975) Selected Tables in Mathematical Statistics , vol.3 , pp. 233-327
    • Keilson, J.1    Ross, H.F.2
  • 12
    • 0542399424 scopus 로고
    • Eigenvalue expansions for diffusion hitting times
    • Kent, J.T. Eigenvalue expansions for diffusion hitting times. Z. Wahrsch. Verw. Gebiete. 1980, 52, 309-319.
    • (1980) Z. Wahrsch. Verw. Gebiete. , vol.52 , pp. 309-319
    • Kent, J.T.1
  • 13
    • 7444264106 scopus 로고
    • The spectral decomposition of a diffusion hitting time
    • Kent, J.T. The spectral decomposition of a diffusion hitting time. Ann. Prob. 1982, 10, 207-219.
    • (1982) Ann. Prob. , vol.10 , pp. 207-219
    • Kent, J.T.1
  • 15
    • 1842816712 scopus 로고    scopus 로고
    • A correction note on the first passage time of an Ornstein-Uhlenbeck process to a boundary
    • Leblanc, B.; Renault, O.; Scaillet, O. A correction note on the first passage time of an Ornstein-Uhlenbeck process to a boundary. Finance Stoch. 2000, 4, 109-111.
    • (2000) Finance Stoch. , vol.4 , pp. 109-111
    • Leblanc, B.1    Renault, O.2    Scaillet, O.3
  • 16
    • 0345402623 scopus 로고    scopus 로고
    • Path dependent options on yields in the affine term structure
    • Leblanc, B.; Scaillet, O. Path dependent options on yields in the affine term structure. Finance Stoch. 1998, 2, 349-367.
    • (1998) Finance Stoch. , vol.2 , pp. 349-367
    • Leblanc, B.1    Scaillet, O.2
  • 17
    • 7444234310 scopus 로고    scopus 로고
    • Computing hitting time densities for CIR and OU diffusions: Applications to mean-reverting models
    • Linetsky, V. Computing hitting time densities for CIR and OU diffusions: Applications to mean-reverting models. J. Comput. Finance 2004, 7, 1-22.
    • (2004) J. Comput. Finance , vol.7 , pp. 1-22
    • Linetsky, V.1
  • 18
    • 0001452295 scopus 로고
    • Bessel processes and infinitely divisible laws
    • Pitman, J.; Yor, M. Bessel processes and infinitely divisible laws. Lecture Notes in Math. 1981, 851, 285-370.
    • (1981) Lecture Notes in Math. , vol.851 , pp. 285-370
    • Pitman, J.1    Yor, M.2
  • 20
    • 0000711915 scopus 로고
    • First-passage time density and moments of the Ornstein-Uhlenbeck process
    • Ricciardi, L.M.; Sato, S. First-passage time density and moments of the Ornstein-Uhlenbeck process. J. Appl. Prob. 1988, 25, 43-57.
    • (1988) J. Appl. Prob. , vol.25 , pp. 43-57
    • Ricciardi, L.M.1    Sato, S.2
  • 21
    • 36149019489 scopus 로고
    • On the first passage time probability problem
    • Siegert, A.J.F. On the first passage time probability problem. Physical Rev. 1951, 81, 617-623.
    • (1951) Physical Rev. , vol.81 , pp. 617-623
    • Siegert, A.J.F.1
  • 22
    • 33644990684 scopus 로고
    • A Laguerre series approximation to the probability density of the first passage time of the Ornstein-Uhlenbeck
    • Smith, C.E. A Laguerre series approximation to the probability density of the first passage time of the Ornstein-Uhlenbeck. Noise in Physical Systems and 1/f Fluctuations 1991.
    • (1991) Noise in Physical Systems and 1/f Fluctuations
    • Smith, C.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.