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Qualitative Properties of Risk Models under Stochastic Interest Force

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REFERENCES

  1. V. Kalashnikov and R. Norberg, Ruin Probability under Random Interest Rate, Lab. of Actuarial Math., University of Copenhagen, Copenhagen (1999).

    Google Scholar 

  2. G. Sh. Tsitsiashvili, "Supertails in risk theory," Dalnevostoch. Mat. Zh., 2, No. 2, 68-76 (2001).

    Google Scholar 

  3. V. V. Kalashnikov, Quality Analysis of the Behavior of Complex Systems by the Method of Test Functions [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  4. H. R. Waters, "Probability of ruin for a risk process with claims cost inflation," Scand. Act. J., 148-164 (1983).

  5. B. Sundt and J. L. Teugels, "Ruin estimates under interest force," Insurance: Math. Econ., 16, 7-22 (1995).

    Article  Google Scholar 

  6. B. Sundt and J. L. Teugels, "The adjustment function in ruin estimates under interest force," Insurance: Math. Econ., 19, 85-94 (1997).

    Article  Google Scholar 

  7. P. Embrechts, C. Kluppelberg, and T. Mikosh, Extremal Events in Finance and Insurance, Springer, New York (1997).

    Google Scholar 

  8. V. V. Kalashnikov, Mathematical Methods in the Ruin Probability Theory, University of Copenhagen, Copenhagen (1999).

    Google Scholar 

  9. D. V. Lindley, "The theory of queues with a single server," Proc. Camb. Phil. Soc., 48, 277-289 (1952).

    Google Scholar 

  10. P. Embrechts and N. Veraverbeke, "Estimates for the probability of ruin with special emphasis on the possibility of large claims," Insurance: Math. Econ., 1, 55-72 (1982).

    Article  Google Scholar 

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Tsitsiashvili, G.S. Qualitative Properties of Risk Models under Stochastic Interest Force. Journal of Mathematical Sciences 123, 3834–3837 (2004). https://doi.org/10.1023/B:JOTH.0000036324.00407.45

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  • DOI: https://doi.org/10.1023/B:JOTH.0000036324.00407.45

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