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Aging and other distributional properties of discrete compound geometric distributions

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  • Willmot, Gordon E.
  • Cai, Jun

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  • Willmot, Gordon E. & Cai, Jun, 2001. "Aging and other distributional properties of discrete compound geometric distributions," Insurance: Mathematics and Economics, Elsevier, vol. 28(3), pages 361-379, June.
    • Handle: RePEc:eee:insuma:v:28:y:2001:i:3:p:361-379
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    References listed on IDEAS

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    1. Shiu, Elias S.W., 1989. "The Probability of Eventual Ruin in the Compound Binomial Model," ASTIN Bulletin, Cambridge University Press, vol. 19(2), pages 179-190, November.
    2. Gerber, Hans U., 1988. "Mathematical fun with ruin theory," Insurance: Mathematics and Economics, Elsevier, vol. 7(1), pages 15-23, January.
    3. Willmot, Gordon E., 1993. "Ruin probabilities in the compound binomial model," Insurance: Mathematics and Economics, Elsevier, vol. 12(2), pages 133-142, April.
    4. Willmot, Gordon E., 1994. "Refinements and distributional generalizations of Lundberg's inequality," Insurance: Mathematics and Economics, Elsevier, vol. 15(1), pages 49-63, October.
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    Cited by:

    1. Cai, Jun & Willmot, Gordon E., 2005. "Monotonicity and aging properties of random sums," Statistics & Probability Letters, Elsevier, vol. 73(4), pages 381-392, July.
    2. Li, Shuanming & Garrido, José, 2002. "On the time value of ruin in the discrete time risk model," DEE - Working Papers. Business Economics. WB wb021812, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    3. Pavlova, Kristina P. & Cai, Jun & Willmot, Gordon E., 2006. "The preservation of classes of discrete distributions under convolution and mixing," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 391-405, April.
    4. Stathis Chadjiconstantinidis & Serkan Eryilmaz, 2022. "Reliability Assessment for Censored $${\boldsymbol{\delta}}$$ δ -Shock Models," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 3141-3173, December.
    5. Li, Gang & Cheng, Kan & Jiang, Xiaoyue, 2006. "Negative ageing property of random sum," Statistics & Probability Letters, Elsevier, vol. 76(7), pages 737-742, April.

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