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Mathematical Problems in Engineering
Volume 2014, Article ID 314307, 7 pages
Research Article

Ruin Probabilities in the Mixed Claim Frequency Risk Models

1School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410004, China
2Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 10090, China

Received 26 December 2013; Revised 30 April 2014; Accepted 30 April 2014; Published 29 May 2014

Academic Editor: Fenghua Wen

Copyright © 2014 Zhao Xiaoqin and Chuangxia Huang. 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. A. Anandkumar, D. Hsu, and S. M. Kakade, “A method of moments for mixture models and hidden Markov models,”
  2. H. Albrecher and V. Lautscham, “From ruin to bankruptcy for compound poisson surplus processes,” ASTIN Bulletin, vol. 43, no. 2, pp. 213–243, 2013. View at Publisher · View at Google Scholar
  3. H. U. Gerber, E. S. W. Shiu, and Y. Hailiang, “The Omega model: from bankruptcy to occupation times in the red,” European Actuarial Journal, vol. 2, no. 2, pp. 259–272, 2012. View at Publisher · View at Google Scholar
  4. V. Melnykov and R. Maitra, “Finite mixture models and model-based clustering,” Statistics Surveys, vol. 4, pp. 80–116, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. N. Städler, P. Bühlmann, and S. van de Geer, “ 1-penalization for mixture regression models,” Test, vol. 19, no. 2, pp. 209–256, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  6. F. Xiong, “Some results on the compound claim frequency model and mixedl claim frequency model,” Mathematics in Economics, vol. 20, no. 1, pp. 48–54, 2003. View at Google Scholar
  7. G. Jan, Aspects of Risk Theory, Springer, New York, NY, USA, 1991.