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References

  • Ball, Frank; Yeo, Geoffrey F. Lumpability and marginalisability for continuous-time Markov chains. J. Appl. Probab. 30 (1993), no. 3, 518--528. MR1232731
  • Bielecki, T.R., Cousin, A., Crépey, S. and Herbertsson, A., Dynamic Hedging of Portfolio Credit Risk in a Markov Copula Model, Journal of Optimization Theory and Applications, forthcoming (2013).
  • Bielecki, T.R., Vidozzi, A., Vidozzi, L., Multivariate Markov Processes with Given Markovian Margins, and Markov Copulae. preprint, Illinois Insitute of Technology (2007).
  • Bielecki, T.R., Vidozzi, A., Vidozzi, L., A Markov Copulae Approach to Pricing and Hedging of Credit Index Derivatives and Ratings Triggered Step--Up Bonds. Journal of Credit Risk 4 No. 1, (2008), 47--76.
  • Bielecki, Tomasz R.; Jakubowski, Jacek; Vidozzi, Andrea; Vidozzi, Luca. Study of dependence for some stochastic processes. Stoch. Anal. Appl. 26 (2008), no. 4, 903--924. MR2431085
  • Bielecki, T. R. and Jakubowski, J. and Nieweglowski, M., Dynamic Modeling of Dependence in Finance via Copulae Between Stochastic Processes. Copula Theory and Its Applications, Lecture Notes in Statistics 198, Part 1, (2010), 33--76.
  • Bielecki, Tomasz R.; Jakubowski, Jacek; Niewȩgłowski, Mariusz. Study of dependence for some stochastic processes: symbolic Markov copulae. Stochastic Process. Appl. 122 (2012), no. 3, 930--951. MR2891442
  • Burke, C. J.; Rosenblatt, M. A Markovian function of a Markov chain. Ann. Math. Statist. 29 (1958) 1112--1122. MR0101557
  • Chen, Mu-Fa. From Markov chains to non-equilibrium particle systems. Second edition. World Scientific Publishing Co., Inc., River Edge, NJ, 2004. xii+597 pp. ISBN: 981-238-811-7 MR2091955
  • Jeanblanc, Monique; Yor, Marc; Chesney, Marc. Mathematical methods for financial markets. Springer Finance. Springer-Verlag London, Ltd., London, 2009. xxvi+732 pp. ISBN: 978-1-85233-376-8 MR2568861
  • Dynkin, E.B., Markov Processes, Volume I. Springer--Verlag, 1965.
  • Elliott, R.J. and Aggoun, L. and Moore, J.B., Hidden Markov Models: Estimation and Control. Springer, Berlin Heidelberg New York, 1994.
  • Nelsen, Roger B. An introduction to copulas. Second edition. Springer Series in Statistics. Springer, New York, 2006. xiv+269 pp. ISBN: 978-0387-28659-4; 0-387-28659-4 MR2197664
  • Rogers, L. C. G.; Pitman, J. W. Markov functions. Ann. Probab. 9 (1981), no. 4, 573--582. MR0624684
  • Rogers, L.C.G. and Williams D., Diffusions, Markov Processes and Martingales. Cambridge University Press, 2000. MR1780932
  • Ryan, Raymond A. Introduction to tensor products of Banach spaces. Springer Monographs in Mathematics. Springer-Verlag London, Ltd., London, 2002. xiv+225 pp. ISBN: 1-85233-437-1 MR1888309
  • Sklar, Abe. Random variables, joint distribution functions, and copulas. Kybernetika (Prague) 9 (1973), 449--460. MR0345164
  • Vidozzi, A., Two Essays In Mathematical Finance. Doctoral Dissertation, Illinois Institute of Technology, 2009.


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