메뉴 건너뛰기




Volumn 11, Issue 3, 2005, Pages 511-522

Passage times for a spectrally negative Lévy process with applications to risk theory

Author keywords

First passage time; Last passage time; Risk theory; Spectrally negative l vy process

Indexed keywords


EID: 33845791622     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/bj/1120591186     Document Type: Article
Times cited : (52)

References (23)
  • 2
    • 4043110188 scopus 로고    scopus 로고
    • Exit problems for spectrally negative Lévy processes and applications to (Canadized) Russian options
    • Avram, F., Kyprianou, A.E. and Pistorius, M.R. (2004) Exit problems for spectrally negative Lévy processes and applications to (Canadized) Russian options. Ann. Appl. Probab., 14, 215-238.
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 215-238
    • Avram, F.1    Kyprianou, A.E.2    Pistorius, M.R.3
  • 3
    • 0003975247 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • Bertoin, J. (1996) Lévy Processes. Cambridge: Cambridge University Press.
    • (1996) Lévy Processes
    • Bertoin, J.1
  • 4
    • 0031285159 scopus 로고    scopus 로고
    • Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval
    • Bertoin, J. (1997) Exponential decay and ergodicity of completely asymmetric Lévy processes in a finite interval. Ann. Appl. Probab., 7, 156-169.
    • (1997) Ann. Appl. Probab. , vol.7 , pp. 156-169
    • Bertoin, J.1
  • 5
    • 0016645863 scopus 로고
    • Fluctuation theory in continuous time
    • Bingham, N.H. (1975) Fluctuation theory in continuous time. Adv. Appl. Probab., 7, 705-766.
    • (1975) Adv. Appl. Probab. , vol.7 , pp. 705-766
    • Bingham, N.H.1
  • 7
    • 84959804178 scopus 로고
    • Hitting probability for spectrally positive Lévy process
    • Doney, C.M. (1991) Hitting probability for spectrally positive Lévy process. J. London Math. Soc., 44, 566-576.
    • (1991) J. London Math. Soc. , vol.44 , pp. 566-576
    • Doney, C.M.1
  • 9
    • 0034649484 scopus 로고    scopus 로고
    • On the moments of ruin and recovery times
    • Egídio dos Reis, A.D. (2000) On the moments of ruin and recovery times. Insurance Math. Econom., 27, 331-343.
    • (2000) Insurance Math. Econom. , vol.27 , pp. 331-343
    • Egídio Dos Reis, A.D.1
  • 11
    • 0015725442 scopus 로고
    • Exit problem for a spectrally positive process
    • Emery, D.J. (1973) Exit problem for a spectrally positive process. Adv. Appl. Probab., 5, 498-520.
    • (1973) Adv. Appl. Probab. , vol.5 , pp. 498-520
    • Emery, D.J.1
  • 12
    • 0000437178 scopus 로고
    • An extension of the renewal equation and its application in the collective theory of risk
    • Gerber, H.U. (1970) An extension of the renewal equation and its application in the collective theory of risk. Skand. Aktuarietidskrift, 53, 205-210.
    • (1970) Skand. Aktuarietidskrift , vol.53 , pp. 205-210
    • Gerber, H.U.1
  • 13
    • 0001244271 scopus 로고
    • When does the surplus reach a given target?
    • Gerber, H.U. (1990) When does the surplus reach a given target? Insurance Math. Econom., 9, 115-119.
    • (1990) Insurance Math. Econom. , vol.9 , pp. 115-119
    • Gerber, H.U.1
  • 14
    • 85007079665 scopus 로고    scopus 로고
    • A martingale review of some fluctuation theory for spectrally negative Lévy processes
    • M. Émery, M. Ledoux and M. Yor (eds), Lecture Notes in Math. 1857, Berlin: Springer-Verlag
    • Kyprianou, A.E. and Palmowski, Z. (2005) A martingale review of some fluctuation theory for spectrally negative Lévy processes. In M. Émery, M. Ledoux and M. Yor (eds), Séminaire de Probabilités XXXVIII, Lecture Notes in Math. 1857, pp. 16-29, Berlin: Springer-Verlag.
    • (2005) Séminaire de Probabilités XXXVIII , pp. 16-29
    • Kyprianou, A.E.1    Palmowski, Z.2
  • 15
    • 38149147469 scopus 로고
    • On the 1st crossing of the surplus process with a given upper barrier
    • Picard, P. and Lefèvre, C. (1994) On the 1st crossing of the surplus process with a given upper barrier. Insurance Math. Econom., 14, 163-179.
    • (1994) Insurance Math. Econom. , vol.14 , pp. 163-179
    • Picard, P.1    Lefèvre, C.2
  • 16
    • 0040385772 scopus 로고
    • Ladder variables for a continuous stochastic process
    • Prabhu, N.U. (1970) Ladder variables for a continuous stochastic process. Z. Wahrscheinlichkeits theorie Verw. Geb., 16, 157-164.
    • (1970) Z. Wahrscheinlichkeits Theorie Verw. Geb. , vol.16 , pp. 157-164
    • Prabhu, N.U.1
  • 17
    • 0010708061 scopus 로고
    • The two-sided exit problem for spectrally positive Lévy processes
    • Rogers, L.C.G. (1990) The two-sided exit problem for spectrally positive Lévy processes. Adv. Appl. Probab., 22, 486-487.
    • (1990) Adv. Appl. Probab. , vol.22 , pp. 486-487
    • Rogers, L.C.G.1
  • 18
    • 0034336883 scopus 로고    scopus 로고
    • Evaluating first-passage probabilities for spectrally one-sided Lévy processes
    • Rogers, L.C.G. (2000) Evaluating first-passage probabilities for spectrally one-sided Lévy processes. J. Appl. Probab., 37, 1173-1180.
    • (2000) J. Appl. Probab. , vol.37 , pp. 1173-1180
    • Rogers, L.C.G.1
  • 19
    • 0001522004 scopus 로고
    • On distributions of functionals related to boundary problems for processes with independent increments
    • Rogozin, B.A. (1965) On distributions of functionals related to boundary problems for processes with independent increments. Theory Probab. Appl., 11, 580-591.
    • (1965) Theory Probab. Appl. , vol.11 , pp. 580-591
    • Rogozin, B.A.1
  • 21
    • 0035272526 scopus 로고    scopus 로고
    • Spectrally negative Lévy processes with applications in risk theory
    • Yang, H. and Zhang, L. (2001) Spectrally negative Lévy processes with applications in risk theory. Adv. Appl. Probab., 33, 281-291.
    • (2001) Adv. Appl. Probab. , vol.33 , pp. 281-291
    • Yang, H.1    Zhang, L.2
  • 22
    • 0036763313 scopus 로고    scopus 로고
    • Total duration of negative surplus for the compound Poisson process that is perturbed by diffusion
    • Zhang, C. and Wu, R. (2002) Total duration of negative surplus for the compound Poisson process that is perturbed by diffusion. J. Appl. Probab., 39, 517-532.
    • (2002) J. Appl. Probab. , vol.39 , pp. 517-532
    • Zhang, C.1    Wu, R.2
  • 23
    • 0000904438 scopus 로고
    • The first passage time of a level and the behavior at infinity for a class of processes with independent increments
    • Zolotarev, C.M. (1964) The first passage time of a level and the behavior at infinity for a class of processes with independent increments. Theory Probab. Appl., 9, 653-661.
    • (1964) Theory Probab. Appl. , vol.9 , pp. 653-661
    • Zolotarev, C.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.