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Volumn 33, Issue 1, 1996, Pages 184-195

Tail of compound distributions and excess time

Author keywords

Excess time; Exponential and non exponential bounds; Insurance risk; M G 1 queue; New better than used; New worse than used; Ruin probabilitY; Wald's identity

Indexed keywords


EID: 0030554651     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200103845     Document Type: Article
Times cited : (33)

References (23)
  • 2
    • 0040358087 scopus 로고
    • Personal communication
    • ASMUSSEN, S. (1994) Personal communication.
    • (1994)
    • Asmussen, S.1
  • 5
    • 0001530664 scopus 로고
    • The NBUC and NWUC classes of life distributions
    • Correction (1992) 29, 753
    • CAO, J. AND WANG, Y. (1991) The NBUC and NWUC classes of life distributions. J. Appl. Prob. 28, 473-479; Correction (1992) 29, 753.
    • (1991) J. Appl. Prob. , vol.28 , pp. 473-479
    • Cao, J.1    Wang, Y.2
  • 6
    • 0020810621 scopus 로고
    • A property of the inverse Guassian distribution with some applications
    • EMBRECHTS, P. (1983) A property of the inverse Guassian distribution with some applications. J. Appl. Prob. 20, 537-544.
    • (1983) J. Appl. Prob. , vol.20 , pp. 537-544
    • Embrechts, P.1
  • 10
    • 84972202585 scopus 로고
    • Martingales and tail probabilities
    • GERBER, H. (1994) Martingales and tail probabilities. Austin Bulletin 24, 145-146.
    • (1994) Austin Bulletin , vol.24 , pp. 145-146
    • Gerber, H.1
  • 12
    • 0039173490 scopus 로고
    • Two-side estimates of geometric convolutions
    • Stability Problems for Stochastic Models. ed. V. Kalashnikov. Springer, Berlin
    • KALASHNIKOV, V. (1993) Two-side estimates of geometric convolutions. In Stability Problems for Stochastic Models. (Lecture Notes in Math. 1546), pp. 75-88. ed. V. Kalashnikov. Springer, Berlin.
    • (1993) Lecture Notes in Math. , vol.1546 , pp. 75-88
    • Kalashnikov, V.1
  • 13
    • 84971138749 scopus 로고
    • A martingale inequality in the theory of queues
    • KINGMAN, J. F. C. (1964) A martingale inequality in the theory of queues. Proc. Camb. Phil. Soc. 60, 359-361.
    • (1964) Proc. Camb. Phil. Soc. , vol.60 , pp. 359-361
    • Kingman, J.F.C.1
  • 14
    • 0000621432 scopus 로고
    • Inequalities in the theory of queues
    • KINGMAN, J. F. C. (1970) Inequalities in the theory of queues. J. R. Stat. Soc. B 32, 102-110.
    • (1970) J. R. Stat. Soc. B , vol.32 , pp. 102-110
    • Kingman, J.F.C.1
  • 17
    • 0000575840 scopus 로고
    • Bounds on the delay distribution in GI/G/1 queues
    • ROSS, S. (1974) Bounds on the delay distribution in GI/G/1 queues. J. Appl. Prob. 11, 417-421.
    • (1974) J. Appl. Prob. , vol.11 , pp. 417-421
    • Ross, S.1
  • 19
    • 0040952086 scopus 로고
    • Use of differential and integral inequalities to bound ruin and queueing probabilities
    • TAYLOR, G. C. (1976) Use of differential and integral inequalities to bound ruin and queueing probabilities. Scand. Act. J. 197-208.
    • (1976) Scand. Act. J. , pp. 197-208
    • Taylor, G.C.1
  • 20
    • 0038503056 scopus 로고
    • On cumulative sums of random variables
    • WALD, A. (1944) On cumulative sums of random variables. Ann. Math. Statist. 15, 283-296.
    • (1944) Ann. Math. Statist. , vol.15 , pp. 283-296
    • Wald, A.1
  • 21
    • 0039173488 scopus 로고
    • Differentiation under the expectation sign in the fundamental identity of sequential analysis
    • WALD, A. (1946) Differentiation under the expectation sign in the fundamental identity of sequential analysis. Ann. Math. Statist. 17, 493-497.
    • (1946) Ann. Math. Statist. , vol.17 , pp. 493-497
    • Wald, A.1
  • 22
    • 0002085339 scopus 로고
    • Refinements and distributional generalizations of Lundberg's inequalities
    • WILLMOT, G. (1994) Refinements and distributional generalizations of Lundberg's inequalities. Insurance: Mathematics and Economics 15, 49-63.
    • (1994) Insurance: Mathematics and Economics , vol.15 , pp. 49-63
    • Willmot, G.1
  • 23
    • 21844491343 scopus 로고
    • Lundberg bounds on the tails of compound distributions
    • WILLMOT, G. AND LIN, X. (1994). Lundberg bounds on the tails of compound distributions. J. Appl. Prob. 31, 743-756.
    • (1994) J. Appl. Prob. , vol.31 , pp. 743-756
    • Willmot, G.1    Lin, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.