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Volumn 46, Issue 1-2, 2004, Pages 149-157

Asymptotics of ruin probabilities for risk processes under optimal reinsurance and investment policies: The large claim case

Author keywords

Adjustment coefficient; Cram r Lundberg approximation; Geometric Brownian motion; Heavy tails; Optimal control; Ruin probability; Subexponential distributions

Indexed keywords

INVESTMENTS; OPTIMAL SYSTEMS;

EID: 3543145407     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/b:ques.0000021146.65596.84     Document Type: Conference Paper
Times cited : (15)

References (8)
  • 1
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    • Sampling at subexponential times, with queueing applications
    • S. Asmussen, C. Klüppelberg and K. Sigman, Sampling at subexponential times, with queueing applications, Stochastic Process. Appl. 79 (1999) 265-286.
    • (1999) Stochastic Process. Appl. , vol.79 , pp. 265-286
    • Asmussen, S.1    Klüppelberg, C.2    Sigman, K.3
  • 2
    • 0006157712 scopus 로고    scopus 로고
    • Optimal investment for insurers
    • C. Hipp and M. Plum, Optimal investment for insurers, Insurance Math. Econom. 27 (2000) 215-228.
    • (2000) Insurance Math. Econom. , vol.27 , pp. 215-228
    • Hipp, C.1    Plum, M.2
  • 5
    • 0343886907 scopus 로고    scopus 로고
    • Compound sums and subexponentiality
    • H. Schmidli, Compound sums and subexponentiality, Bernoulli 5 (1999) 999-1012.
    • (1999) Bernoulli , vol.5 , pp. 999-1012
    • Schmidli, H.1
  • 6
    • 85011522740 scopus 로고    scopus 로고
    • Optimal proportional reinsurance policies in a dynamic setting
    • H. Schmidli, Optimal proportional reinsurance policies in a dynamic setting, Scand. Actuarial J. (2001) 55-68.
    • (2001) Scand. Actuarial J. , pp. 55-68
    • Schmidli, H.1
  • 7
    • 0036392392 scopus 로고    scopus 로고
    • On minimising the ruin probability by investment and reinsurance
    • H. Schmidli, On minimising the ruin probability by investment and reinsurance, Ann. Appl. Probab. 12 (2002) 890-907.
    • (2002) Ann. Appl. Probab. , vol.12 , pp. 890-907
    • Schmidli, H.1
  • 8
    • 13844286971 scopus 로고    scopus 로고
    • Asymptotics of ruin probabilities for risk processes under optimal reinsurance policies: The small claim case
    • Laboratory of Actuarial Mathematics, University of Copenhagen
    • H. Schmidli, Asymptotics of ruin probabilities for risk processes under optimal reinsurance policies: The small claim case, Working paper 180, Laboratory of Actuarial Mathematics, University of Copenhagen (2002).
    • (2002) Working Paper 180
    • Schmidli, H.1


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