메뉴 건너뛰기




Volumn 117, Issue 9, 2007, Pages 1330-1356

Exit times for a class of piecewise exponential Markov processes with two-sided jumps

Author keywords

Contour integrals; Exit probabilities; Martingales; Ornstein Uhlenbeck process; Partial eigenfunctions; Shot noise process; Undershoot

Indexed keywords

CONTOUR INTEGRALS; EXIT PROBABILITIES; ORNSTEIN-UHLENBECK PROCESS; PARTIAL EIGENFUNCTIONS; SHOT-NOISE PROCESS; UNDERSHOOT;

EID: 34447565928     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2007.01.005     Document Type: Article
Times cited : (37)

References (18)
  • 1
    • 33644971385 scopus 로고    scopus 로고
    • Representations of the first hitting time density of an Ornstein-Uhlenbeck process
    • Alili L., Patie P., and Pedersen J.L. Representations of the first hitting time density of an Ornstein-Uhlenbeck process. Stoch. Models 21 (2005) 967-980
    • (2005) Stoch. Models , vol.21 , pp. 967-980
    • Alili, L.1    Patie, P.2    Pedersen, J.L.3
  • 3
    • 0008998080 scopus 로고
    • The first passage problem for generalized Ornstein-Uhlenbeck processes with non-positive jumps
    • Séminaire de Probabilités XIX 1983/84. Azéma J., and Yor M. (Eds), Springer, Berlin
    • Hadjiev D.I. The first passage problem for generalized Ornstein-Uhlenbeck processes with non-positive jumps. Séminaire de Probabilités XIX 1983/84. In: Azéma J., and Yor M. (Eds). Lecture Notes in Mathematics vol. 1123 (1985), Springer, Berlin 80-90
    • (1985) Lecture Notes in Mathematics , vol.1123 , pp. 80-90
    • Hadjiev, D.I.1
  • 4
    • 0017020322 scopus 로고
    • The stationary distribution and first exit probabilities of a storage process with general release rule
    • Harrison J.M., and Resnick S.I. The stationary distribution and first exit probabilities of a storage process with general release rule. Math. Oper. Res. 1 (1976) 347-358
    • (1976) Math. Oper. Res. , vol.1 , pp. 347-358
    • Harrison, J.M.1    Resnick, S.I.2
  • 5
    • 0041841608 scopus 로고    scopus 로고
    • Martingales and the distribution of the time to ruin
    • Jacobsen M. Martingales and the distribution of the time to ruin. Stochastic Process. Appl. 107 (2003) 29-51
    • (2003) Stochastic Process. Appl. , vol.107 , pp. 29-51
    • Jacobsen, M.1
  • 6
    • 31944435659 scopus 로고    scopus 로고
    • The time to ruin for a class of Markov additive risk processes with two-sided jumps
    • Jacobsen M. The time to ruin for a class of Markov additive risk processes with two-sided jumps. Adv. Appl. Probab. 38 (2005) 963-992
    • (2005) Adv. Appl. Probab. , vol.38 , pp. 963-992
    • Jacobsen, M.1
  • 7
    • 34447522731 scopus 로고    scopus 로고
    • A.T. Jensen, The distribution of various hitting times for a shot noise process with two-sided jumps, Dept. of Applied Mathematics and Statistics, Univ. of Copenhagen, 2004 (Preprint 6)
  • 8
    • 34447503033 scopus 로고    scopus 로고
    • A.T. Jensen, Statistical inference for doubly stochastic Poisson processes, Ph.D. Thesis, Dept. of Applied Mathematics and Statistics, Univ. of Copenhagen, 2005
  • 9
    • 0035438334 scopus 로고    scopus 로고
    • On hitting times for compound Poisson dams with exponential jumps and linear release rate
    • Kella O., and Stadje W. On hitting times for compound Poisson dams with exponential jumps and linear release rate. J. Appl. Probab. 38 (2001) 781-786
    • (2001) J. Appl. Probab. , vol.38 , pp. 781-786
    • Kella, O.1    Stadje, W.2
  • 10
    • 0043288683 scopus 로고    scopus 로고
    • Quelques martingales associées à l'intégrale du processus Ornstein-Uhlenbeck. Application à l'étude des premiers instants d'atteinte
    • Lachal A. Quelques martingales associées à l'intégrale du processus Ornstein-Uhlenbeck. Application à l'étude des premiers instants d'atteinte. Stoch. Stoch. Rep. 58 (1996) 285-302
    • (1996) Stoch. Stoch. Rep. , vol.58 , pp. 285-302
    • Lachal, A.1
  • 11
    • 3242680668 scopus 로고    scopus 로고
    • Martingales and first exit-times for the Ornstein-Uhlenbeck process with jumps
    • Novikov A.A. Martingales and first exit-times for the Ornstein-Uhlenbeck process with jumps. Theory Probab. Appl. 48 (2004) 288-303
    • (2004) Theory Probab. Appl. , vol.48 , pp. 288-303
    • Novikov, A.A.1
  • 13
    • 14844345068 scopus 로고    scopus 로고
    • On a martingale associated to generalized Ornstein-Uhlenbeck processes and an application to finance
    • Patie P. On a martingale associated to generalized Ornstein-Uhlenbeck processes and an application to finance. Stochastic Process. Appl. 115 (2005) 593-607
    • (2005) Stochastic Process. Appl. , vol.115 , pp. 593-607
    • Patie, P.1
  • 14
    • 34447559167 scopus 로고    scopus 로고
    • P. Patie, On some first passage time problems motivated by financial applications, Ph.D. Thesis, ETH Zürich, 2004
  • 15
    • 0031349836 scopus 로고    scopus 로고
    • Ruin theory with stochastic return on investments
    • Paulsen J., and Gjessing H.K. Ruin theory with stochastic return on investments. Adv. Appl. Probab. 29 (1997) 965-985
    • (1997) Adv. Appl. Probab. , vol.29 , pp. 965-985
    • Paulsen, J.1    Gjessing, H.K.2
  • 16
    • 3242701876 scopus 로고    scopus 로고
    • First exit times for Poisson shot noise
    • Perry D., Stadje W., and Zacks S. First exit times for Poisson shot noise. Stoch. Models 17 (2001) 25-37
    • (2001) Stoch. Models , vol.17 , pp. 25-37
    • Perry, D.1    Stadje, W.2    Zacks, S.3
  • 17
    • 36149019489 scopus 로고
    • On the first passage time probability function
    • Siegert A.J.F. On the first passage time probability function. Phys. Rev. 81 (1951) 617-623
    • (1951) Phys. Rev. , vol.81 , pp. 617-623
    • Siegert, A.J.F.1
  • 18
    • 3242714566 scopus 로고
    • On a first passage problem for a cumulative process with exponential decay
    • Tsurui A., and Osaki S. On a first passage problem for a cumulative process with exponential decay. Stochastic Process. Appl. 4 (1976) 79-88
    • (1976) Stochastic Process. Appl. , vol.4 , pp. 79-88
    • Tsurui, A.1    Osaki, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.