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Two-Sided Bounds for Ruin Probability under Constant Interest Force

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REFERENCES

  1. S. Asmussen, "Subexponential asymptotes for stochastic processes: extremal behavior, stationary distribution, and first passage probabilities," Ann. Appl. Probab., 8, 354-374 (1998).

    Article  Google Scholar 

  2. P. Embrechts, C. Goldie, and N. Veraverbeke, "Subexponentiality and infinite divisibility," Z. Wahrsch. verw. Geb., 49, 335-347 (1979).

    Google Scholar 

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

    Article  Google Scholar 

  4. V. V. Kalashnikov and D. Konstantinides, "Ruin under interest force and subexponential claims: a simple treatment," Insurance: Math. Econom., 27, 145-149 (2000).

    Article  Google Scholar 

  5. V. V. Kalashnikov and G. Tsitsiashvili, Asymptotically Correct Bounds of Geometric Convolutions with Subexponential Components, Lab. of Actuarial Math., University of Copenhagen (1998).

  6. V. V. Kalashnikov and G. Sh. Tsitsiashvili, "Tails of waiting times and their bounds," Queueing Syst., 32, 257-283 (1999).

    Article  Google Scholar 

  7. V. V. Kalashnikov and G. Sh. Tsitsiashvili, "Two-sided estimations of random sums with subexponential components," Probl. Peredachi Inform., 35, 67-79 (1999).

    Google Scholar 

  8. V. V. Kalashnikov and G. Sh. Tsitsiashvili, "Tight approximation of basic characteristics of classical and nonclassical surplus process," ARCH 00V210(2000-9), 2, 251-293 (2000).

    Google Scholar 

  9. C. Klüppelberg and U. Stadtmüller, "Ruin probabilities in the presence of heavy-tails and interest rates," Scand. Act. J., 49-58 (1998).

  10. T. Mikosch and A. Nagaev, "Rates in approximations to ruin probabilities for heavy-tailed distributions," Extremes, 4, No. 1, 67-78 (2001).

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  13. Q. H. Tang, C. Su, T. Jiang, and J. S. Zhang, "Large deviations for heavy-tailed random sums in compound renewal model," Statist. Probab. Lett., 52, No. 1, 91-100 (2000).

    Article  Google Scholar 

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Konstantinides, D.G., Tang, Q.H. & Tsitsiashvili, G.S. Two-Sided Bounds for Ruin Probability under Constant Interest Force. Journal of Mathematical Sciences 123, 3824–3833 (2004). https://doi.org/10.1023/B:JOTH.0000036323.99101.24

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  • DOI: https://doi.org/10.1023/B:JOTH.0000036323.99101.24

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