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Advances in Decision Sciences
Volume 2012, Article ID 123635, 12 pages
http://dx.doi.org/10.1155/2012/123635
Research Article

Monounireducible Nonhomogeneous Continuous Time Semi-Markov Processes Applied to Rating Migration Models

1Department of Pharmacy, University “G. d'Annunzio” of Chieti, Via dei Vestini 31, 66013 Chieti, Italy
2CESIAF, EURIA, University of Bretagne Occidentale, 6 Avenue L. Gorgeu, CS 93837, 29238 Brest Cedex 3, France
3MEMOTEF Department, University “La Sapienza” of Roma, Via del Castro Laurenziano 9, 00161 Roma, Italy

Received 3 April 2012; Accepted 11 September 2012

Academic Editor: C. D. Lai

Copyright © 2012 Guglielmo D'Amico et al. 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. J. Janssen and R. Manca, Semi-Markov Risk Models for Finance, Insurance and Reliability, Springer, New York, NY, USA, 2007.
  2. G. D'Amico, J. Janssen, and R. Manca, “Initial and final backward and forward discrete time non-homogeneous semi-Markov credit risk models,” Methodology and Computing in Applied Probability, vol. 12, no. 2, pp. 215–225, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. G. D'Amico, J. Janssen, and R. Manca, “Semi-Markov reliability models with recurrence times and credit rating applications,” Journal of Applied Mathematics and Decision Sciences, vol. 2009, Article ID 625712, 17 pages, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. J. Yackel, “Limit theorems for semi-Markov processes,” Transactions of the American Mathematical Society, vol. 123, pp. 402–424, 1966. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. E. Çinlar, “Markov renewal theory,” Advances in Applied Probability, vol. 1, pp. 123–187, 1969. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. N. Limnios and G. Oprişan, Semi-Markov Processes and Reliability Modelling, Birkhäuser Boston Inc., Boston, Mass, USA, 2001. View at Publisher · View at Google Scholar
  7. V. Korolyuk and A. Swishchuk, Semi-Markov Random Evolutions, Kluwer Academic Publishers, Dodrecht, The Netherlands, 1995.
  8. G. D'Amico, J. Janssen, and R. Manca, “Duration dependent semi-Markov models,” Applied Mathematical Sciences, vol. 5, no. 41–44, pp. 2097–2108, 2011. View at Google Scholar · View at Zentralblatt MATH
  9. G. D'Amico, J. Janssen, and R. Manca, “The dynamic behaviour of non-homogeneous single-unireducible Markov and semi- Markov chains,” in Networks: Topology and Dynamic Lectures Notes in Economic and Mathematical Systems, pp. 195–211, Springer, New York, NY, USA, 2009. View at Google Scholar
  10. G. D'Amico, J. Janssen, and R. Manca, “Homogeneous semi-Markov reliability models for credit risk management,” Decisions in Economics and Finance, vol. 28, no. 2, pp. 79–93, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. A. Vasileiou and P.-C. G. Vassiliou, “An inhomogeneous semi-Markov model for the term structure of credit risk spreads,” Advances in Applied Probability, vol. 38, no. 1, pp. 171–198, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  12. G. D'Amico, J. Janssen, and R. Manca, “Valuing credit default swap in a non-homogeneous semi-Markovian rating based model,” Computational Economics, vol. 29, no. 2, pp. 119–138, 2007. View at Publisher · View at Google Scholar
  13. D. Lando, Credit Risk Modeling, Princeton University Press, Princeton, NJ, USA, 2004.
  14. S. Trueck and S. T. Rachev, Rating Based Modeling of Credit Risk, Academic Press, New York, NY, USA, 2009.
  15. C. Bluhm, L. Overbeck, and C. Wagner, An introduction to Credit Risk Modeling, CRC Financial Mathematics Series, Chapman & Hall, Boca Raton, Fla, USA, 2002. View at Zentralblatt MATH
  16. G. D'Amico, G. Di Biase, J. Janssen, and R. Manca, “Homogeneous and non-homogeneous semi-Markov backward credit risk migration models,” in Financial Hedging, chapter 1, Nova Science Publishers, New York, NY, USA, 2009. View at Google Scholar