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The survival probability in finite time period in fully discrete risk model

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Abstract

The probabilities of the following events are first discussed in this paper: the insurance company survives to any fixed time k and the surplus at time k equals x≥1. The formulas for calculating such probabilities are deduced through analytical and probabilistic arguments respectively. Finally, other probability laws relating to risk are determined based on the probabilities mentioned above.

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Authors and Affiliations

  1. Information School, People’s University of China, 100872, Beijing

    Cheng Shixue & Wu Biao

  2. Life Actuarial Department, China Pacific Insurance Co. Ltd., 200002, Shanghai

    Cheng Shixue & Wu Biao

Authors
  1. Cheng Shixue
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  2. Wu Biao
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Additional information

This work was supported jointly by the Foundation of Chinese Natural Science (19571088) and the Education Ministry (the original State Education Committee, 96JAP790105).

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Shixue, C., Biao, W. The survival probability in finite time period in fully discrete risk model. Appl. Math. Chin. Univ. 14, 67–74 (1999). https://doi.org/10.1007/s11766-999-0056-4

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  • DOI: https://doi.org/10.1007/s11766-999-0056-4

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