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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 748204, 11 pages
http://dx.doi.org/10.1155/2013/748204
Research Article

The Compound Binomial Risk Model with Randomly Charging Premiums and Paying Dividends to Shareholders

School of Business, Central South University, Changsha, Hunan 410083, China

Received 24 October 2012; Revised 22 May 2013; Accepted 4 June 2013

Academic Editor: Samir H. Saker

Copyright © 2013 Xiong Wang and Lei He. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Cheng, H. U. Gerber, and E. S. W. Shiu, “Discounted probabilities and ruin theory in the compound binomial model,” Insurance, vol. 26, no. 2-3, pp. 239–250, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  2. H. Cossette, D. Landriault, and E. Marceau, “Ruin probabilities in the compound Markov binomial model,” Scandinavian Actuarial Journal, no. 4, pp. 301–323, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  3. D. C. M. Dickson, “Some comments on the compound binomial model,” ASTIN Bulletin, vol. 24, no. 1, pp. 33–45, 1994.
  4. H. U. Gerber, “Mathematical fun with the compound Poisson process,” ASTIN Bulletin, vol. 18, pp. 161–168, 1988.
  5. S. Karlin and H. M. Taylor, A First Course in Stochastic Processes, Academic Press, New York, NY, USA, 1975. View at MathSciNet
  6. N. J. Pullman, Matrix Theory and Its Applications, Marcel Dekker, New York, NY, USA, 1976. View at MathSciNet
  7. E. S. W. Shiu, “The probability of eventual ruin in compound binomial model,” ASTIN Bulletin, vol. 19, pp. 179–190, 1989.
  8. Y. Xiao and J. Guo, “The compound binomial risk model with time-correlated claims,” Insurance, vol. 41, no. 1, pp. 124–133, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  9. K. C. Yuen and J. Y. Guo, “Ruin probabilities for time-correlated claims in the compound binomial model,” Insurance, vol. 29, no. 1, pp. 47–57, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  10. J. Tan and X. Yang, “The compound binomial model with randomized decisions on paying dividends,” Insurance, vol. 39, no. 1, pp. 1–18, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  11. Z. Bao, “A note on the compound binomial model with randomized dividend strategy,” Applied Mathematics and Computation, vol. 194, no. 1, pp. 276–286, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  12. D. Landriault, “Randomized dividends in the compound binomial model with a general premium rate,” Scandinavian Actuarial Journal, no. 1, pp. 1–15, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  13. L. He and X. Yang, “The compound binomial model with randomly paying dividends to shareholders and policyholders,” Insurance, vol. 46, no. 3, pp. 443–449, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  14. J. Tan and X. Yang, “The compound binomial model with a constant dividend barrier and periodically paid dividends,” Journal of Systems Science & Complexity, vol. 25, no. 1, pp. 167–177, 2012. View at Publisher · View at Google Scholar · View at MathSciNet