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Volumn 18, Issue 4, 2002, Pages 553-564

Hitting and ruin probabilities for compound Poisson processes and the cycle maximum of the M/G/1 queue

Author keywords

Compound Poisson process; Cycle maximum; Hitting probability; Ruin; Single server queue; Two sided first exit time; Workload

Indexed keywords

MATHEMATICAL MODELS; MAXIMUM PRINCIPLE; PROBLEM SOLVING; QUEUEING THEORY;

EID: 0036969178     PISSN: 15326349     EISSN: None     Source Type: Journal    
DOI: 10.1081/STM-120016444     Document Type: Article
Times cited : (10)

References (19)
  • 2
    • 33747210227 scopus 로고
    • On cycle maxima, first passage problems, and extreme value theory for Queues
    • Asmussen, S.; Perry, D. On Cycle Maxima, First Passage Problems, and Extreme Value Theory for Queues. Stoch. Models 1992, 8 (3), 421-458.
    • (1992) Stoch. Models , vol.8 , Issue.3 , pp. 421-458
    • Asmussen, S.1    Perry, D.2
  • 4
    • 0012873466 scopus 로고
    • Single server queueing system with uniformly limited queueing time
    • Daley, D.J. Single Server Queueing System with Uniformly Limited Queueing Time. J. Aust. Math. Soc. 1964, 4, 489-505.
    • (1964) J. Aust. Math. Soc. , vol.4 , pp. 489-505
    • Daley, D.J.1
  • 5
    • 0001045407 scopus 로고    scopus 로고
    • Explicit finite-time and infinite-time ruin probabilities in the continuous case
    • De Vylder, F.; Goovaerts, M.J. Explicit Finite-Time and Infinite-Time Ruin Probabilities in the Continuous Case. Insurance Math. Econ. 1999a, 24, 155-172.
    • (1999) Insurance Math. Econ. , vol.24 , pp. 155-172
    • De Vylder, F.1    Goovaerts, M.J.2
  • 6
    • 0000249889 scopus 로고    scopus 로고
    • Inequality extensions of prabhu's formula in ruin theory
    • De Vylder, F.E.; Goovaerts, M.J. Inequality Extensions of Prabhu's Formula in Ruin Theory. Insurance Math. Econ. 1999b, 24, 249-273.
    • (1999) Insurance Math. Econ. , vol.24 , pp. 249-273
    • De Vylder, F.E.1    Goovaerts, M.J.2
  • 7
    • 0012792684 scopus 로고
    • Mathematical fun with ruin theory
    • Gerber, H. Mathematical Fun with Ruin Theory. Insurance Math. Econ. 1988, 7, 15-23.
    • (1988) Insurance Math. Econ. , vol.7 , pp. 15-23
    • Gerber, H.1
  • 8
    • 0032113775 scopus 로고    scopus 로고
    • On the discounted penalty at ruin in a jump-diffusion and the perpetual put-option
    • Gerber, H.U.; Landry, B. On the Discounted Penalty at Ruin in a Jump-Diffusion and the Perpetual Put-Option. Insurance Math. Econ. 1998, 22, 263-276.
    • (1998) Insurance Math. Econ. , vol.22 , pp. 263-276
    • Gerber, H.U.1    Landry, B.2
  • 9
    • 0031573355 scopus 로고    scopus 로고
    • The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin
    • Gerber, H.U.; Shiu, E.S.W. The Joint Distribution of the Time of Ruin, the Surplus Immediately Before Ruin, and the Deficit at Ruin. Insurance Math. Econ. 1997, 21, 129-137.
    • (1997) Insurance Math. Econ. , vol.21 , pp. 129-137
    • Gerber, H.U.1    Shiu, E.S.W.2
  • 12
    • 0001973398 scopus 로고    scopus 로고
    • Analysis of a defective, renewal equation arising in ruin theory
    • Lin, X.S.; Willmot, G.E. Analysis of a Defective, Renewal Equation Arising in Ruin Theory. Insurance Math. Econ. 1999, 25, 63-84.
    • (1999) Insurance Math. Econ. , vol.25 , pp. 63-84
    • Lin, X.S.1    Willmot, G.E.2
  • 13
    • 0003126065 scopus 로고    scopus 로고
    • Stopping problems for compound processes with applications to Queues
    • Perry, D. Stopping Problems for Compound Processes with Applications to Queues. J. Stat. Planning Inf. 2000, 91, 65-75.
    • (2000) J. Stat. Planning Inf. , vol.91 , pp. 65-75
    • Perry, D.1
  • 14
    • 84872046250 scopus 로고    scopus 로고
    • The probability of ruin in finite time with discrete claim size distribution
    • Picard, P.; Lefèvre, C. The Probability of Ruin in Finite Time with Discrete Claim Size Distribution. Scand. Actuarial J. 1997a, 58-69.
    • (1997) Scand. Actuarial J. , pp. 58-69
    • Picard, P.1    Lefèvre, C.2
  • 15
    • 0032583017 scopus 로고    scopus 로고
    • The moments of ruin time in the classical risk model with discrete claim size distribution
    • Picard, P.; Lefèvre, C. The Moments of Ruin Time in the Classical Risk Model with Discrete Claim Size Distribution. Insurance Math. Econ. 1997b, 23, 157-172.
    • (1997) Insurance Math. Econ. , vol.23 , pp. 157-172
    • Picard, P.1    Lefèvre, C.2
  • 16
    • 21144465397 scopus 로고
    • A new look at the moran dam
    • Stadje, W. A New Look at the Moran Dam. J. Appl. Prob. 1993, 30, 489-495.
    • (1993) J. Appl. Prob. , vol.30 , pp. 489-495
    • Stadje, W.1
  • 17
    • 0012835668 scopus 로고
    • Applications of ballot theorems in the theory of queues
    • Smith, W.L., Wilkinson, W.E. Eds; University of North Carolina Press: Chapel Hill
    • Takács, L. Applications of Ballot Theorems in the Theory of Queues. In Proceedings Symposium on Congestion Theory; Smith, W.L., Wilkinson, W.E. Eds.; University of North Carolina Press: Chapel Hill, 1965.
    • (1965) Proceedings Symposium on Congestion Theory
    • Takács, L.1
  • 18
    • 0000585763 scopus 로고
    • Distribution of stopping times for poisson processes with linear boundaries
    • Zacks, S. Distribution of Stopping Times for Poisson Processes with Linear Boundaries. Stoch. Models 1991, 7, 233-242.
    • (1991) Stoch. Models , vol.7 , pp. 233-242
    • Zacks, S.1
  • 19
    • 0001935954 scopus 로고    scopus 로고
    • Distribution of stopping times for compound poisson processes with positive jumps and linear boundaries
    • Zacks, S.; Perry, D.; Bshouty, D.; Bar-Lev, S.K. Distribution of Stopping Times for Compound Poisson Processes with Positive Jumps and Linear Boundaries. Stoch. Models 1999, 15, 89-101.
    • (1999) Stoch. Models , vol.15 , pp. 89-101
    • Zacks, S.1    Perry, D.2    Bshouty, D.3    Bar-Lev, S.K.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.