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Volumn 16, Issue 1, 2006, Pages 91-106

Overshoots and undershoots of Lévy processes

Author keywords

First passage problem; Insurance risk process; L vy processes; Wiener Hopf factorization

Indexed keywords


EID: 33645656624     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051605000000647     Document Type: Article
Times cited : (102)

References (14)
  • 1
    • 0030295610 scopus 로고    scopus 로고
    • Large deviations results for subexponential tails with applications to insurance risk
    • MR1419495
    • ASMUSSEN, S. and KLÜPPELBERG, C. (1996). Large deviations results for subexponential tails with applications to insurance risk. Stoch. Process. Appl. 64 103-125. MR1419495
    • (1996) Stoch. Process. Appl. , vol.64 , pp. 103-125
    • Asmussen, S.1    Klüppelberg, C.2
  • 2
    • 0003975247 scopus 로고    scopus 로고
    • Cambridge Univ. Press. MR1406564
    • BERTOIN, J. (1996). Lévy Processes. Cambridge Univ. Press. MR1406564
    • (1996) Lévy Processes
    • Bertoin, J.1
  • 4
    • 0001432293 scopus 로고
    • Degeneracy properties of subcritical branching processes
    • MR348852
    • CHOVER, J., NEY, P. and WAINGER, S. (1973). Degeneracy properties of subcritical branching processes. Ann. Probab. 1 663-673. MR348852
    • (1973) Ann. Probab. , vol.1 , pp. 663-673
    • Chover, J.1    Ney, P.2    Wainger, S.3
  • 5
    • 84975997330 scopus 로고
    • Convolutions of distributions with exponential and subexponential tails
    • MR904394
    • CLINE, D. B. H. (1987). Convolutions of distributions with exponential and subexponential tails. J. Austral. Math. Soc. Ser. A 43 347-365. MR904394
    • (1987) J. Austral. Math. Soc. Ser. A , vol.43 , pp. 347-365
    • Cline, D.B.H.1
  • 6
    • 0842303739 scopus 로고    scopus 로고
    • The joint distribution of the surplus prior to ruin and the deficit at ruin in some Sparre Andersen models
    • MR2035340
    • DICKSON, D. C. M. and DREKIC, S. (2004). The joint distribution of the surplus prior to ruin and the deficit at ruin in some Sparre Andersen models. Insurance Math. Econ. 34 97-107. MR2035340
    • (2004) Insurance Math. Econ. , vol.34 , pp. 97-107
    • Dickson, D.C.M.1    Drekic, S.2
  • 8
    • 0031573355 scopus 로고    scopus 로고
    • The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin
    • MR1604928
    • GERBER, H. U. and SHIU, E. S. W. (1997). The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. Insurance Math. Econ. 21 129-137. MR1604928
    • (1997) Insurance Math. Econ. , vol.21 , pp. 129-137
    • Gerber, H.U.1    Shiu, E.S.W.2
  • 10
    • 26844542054 scopus 로고    scopus 로고
    • Ruin probabilities and overshoots for general Lévy insurance risk processes
    • MR2099651
    • KLÜPPELBERG, C., KYPRIANOU, A. E. and MALLER, R. A. (2004). Ruin probabilities and overshoots for general Lévy insurance risk processes. Ann. Appl. Probab. 14 1766-1801. MR2099651
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 1766-1801
    • Klüppelberg, C.1    Kyprianou, A.E.2    Maller, R.A.3
  • 11
    • 0033622222 scopus 로고    scopus 로고
    • On the constant in the definition of subexponential distributions
    • MR1751486
    • ROGOZIN, B. A. (2000). On the constant in the definition of subexponential distributions. Theory Probab. Appl. 44 409-412. MR1751486
    • (2000) Theory Probab. Appl. , vol.44 , pp. 409-412
    • Rogozin, B.A.1
  • 13
    • 0842325242 scopus 로고    scopus 로고
    • On the joint distributions of surplus immediately before ruin and the deficit at ruin for Erlang(2) risk processes
    • MR2035342
    • SUN, L. and YANG, H. (2004). On the joint distributions of surplus immediately before ruin and the deficit at ruin for Erlang(2) risk processes. Insurance Math. Econ. 34 121-125. MR2035342
    • (2004) Insurance Math. Econ. , vol.34 , pp. 121-125
    • Sun, L.1    Yang, H.2
  • 14
    • 0036334419 scopus 로고    scopus 로고
    • Votre Lévy rampe-t-il?
    • MR1875147
    • VIGON, V. (2002). Votre Lévy rampe-t-il? J. London Math. Soc. (2) 65 243-256. MR1875147
    • (2002) J. London Math. Soc. (2) , vol.65 , pp. 243-256
    • Vigon, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.