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Volumn 37, Issue 3, 2005, Pages 505-521

The expected value of the time of ruin and the moments of the discounted deficit at ruin in the perturbed classical risk process

Author keywords

Deficit at ruin; Expected value of the time of ruin; Laplace transform of the time of ruin; Perturbed classical risk process; Phase type distribution; Probability of ruin; Renewal process

Indexed keywords


EID: 29144474120     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.insmatheco.2005.05.002     Document Type: Article
Times cited : (8)

References (10)
  • 2
    • 0041841498 scopus 로고    scopus 로고
    • Finite time ruin probabilities with one Laplace inversion
    • F. Avram M. Usabel Finite time ruin probabilities with one Laplace inversion Insurance: Mathematics & Economics 32 2003 371-377
    • (2003) Insurance: Mathematics & Economics , vol.32 , pp. 371-377
    • Avram, F.1    Usabel, M.2
  • 3
    • 0031573355 scopus 로고    scopus 로고
    • The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin
    • H.U. Gerber E.S.W. Shiu The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin Insurance: Mathematics & Economics 21 1997 129-137
    • (1997) Insurance: Mathematics & Economics , vol.21 , pp. 129-137
    • Gerber, H.U.1    Shiu, E.S.W.2
  • 4
    • 0032113775 scopus 로고    scopus 로고
    • On the discounted penalty at ruin in a jump-diffusion and the perpetual put option
    • Hans U. Gerber Bruno. Landry On the discounted penalty at ruin in a jump-diffusion and the perpetual put option Insurance: Mathematics & Economics 22 1998 263-276
    • (1998) Insurance: Mathematics & Economics , vol.22 , pp. 263-276
    • Gerber, H.U.1    Landry, B.2
  • 6
    • 0001858607 scopus 로고    scopus 로고
    • The moments of time of ruin, the surplus before ruin, and the deficit at ruin
    • Sheldon X. Lin E. Willmot Gordon The moments of time of ruin, the surplus before ruin, and the deficit at ruin Insurance: Mathematics & Economics 27 2000 19-44
    • (2000) Insurance: Mathematics & Economics , vol.27 , pp. 19-44
    • Lin, S.X.1    Willmot, G.E.2
  • 8
    • 0042342659 scopus 로고    scopus 로고
    • On the expectatioin of the present values of the time of ruin perturbed by diffusion
    • Cary Chi-Liang. Tsai On the expectatioin of the present values of the time of ruin perturbed by diffusion Insurance: Mathematics & Economics 32 2003 413-429
    • (2003) Insurance: Mathematics & Economics , vol.32 , pp. 413-429
    • Tsai, C.C.-L.1
  • 9
    • 0036192793 scopus 로고    scopus 로고
    • A generalized defective renewal equation for the surplus process perturbed by diffusion
    • Cary Chi-Liang. Tsai Gordon E. Willmot A generalized defective renewal equation for the surplus process perturbed by diffusion Insurance: Mathematics & Economics 30 1 2002 51-66
    • (2002) Insurance: Mathematics & Economics , vol.30 , Issue.1 , pp. 51-66
    • Tsai, C.C.-L.1    Willmot, G.E.2
  • 10
    • 0041841493 scopus 로고    scopus 로고
    • The joint density function of three characteristic on jump-diffution risk process
    • C. Zhang G. Wang The joint density function of three characteristic on jump-diffution risk process Insurance: Mathematics & Economics 32 2003 445-455
    • (2003) Insurance: Mathematics & Economics , vol.32 , pp. 445-455
    • Zhang, C.1    Wang, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.