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International Journal of Stochastic Analysis
Volume 2013 (2013), Article ID 652364, 6 pages
The BALM Copula
1Department of Applied Mathematics, Kettering University, Flint, MI 48504, USA
2Department of Statistics, University of Sao Paulo, CP 66281, 05311-970 Sao Paulo, SP, Brazil
Received 25 April 2013; Revised 26 August 2013; Accepted 28 August 2013
Academic Editor: Nikolai Leonenko
Copyright © 2013 Boyan Dimitrov and Nikolai Kolev. 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.
- S. Chukova and B. Dimitrov, “On distributions having the almost lack of memory property,” Journal of Applied Probability, vol. 29, no. 3, pp. 691–698, 1992.
- B. Dimitrov and Z. Khalil, “A class of new probability distributions for modelling environmental evolution with periodic behaviour,” Environmetrics, vol. 3, no. 4, pp. 447–464, 1992.
- B. Dimitrov and N. Kolev, “Bernoulli trials: extensions, related probability distributions and modeling powers, mathematics and education in mathematics,” in Proceedings of the 31st Spring Conference of the Union of the Bulgarian Mathematicians (UBM), pp. 15–24, Borovec, Bulgaria, April 2002.
- S. Chukova, B. Dimitrov, and J. Garrido, “Renewal and nonhomogeneous Poisson processes generated by distributions with periodic failure rate,” Statistics and Probability Letters, vol. 17, no. 1, pp. 19–25, 1993.
- R. Helmers, I. Wayan Mangku, and R. Zitikis, “Consistent estimation of the intensity function of a cyclic Poisson process,” Journal of Multivariate Analysis, vol. 84, no. 1, pp. 19–39, 2003.
- R. Helmers, I. W. Mangku, and R. Zitikis, “A non-parametric estimator for the doubly periodic Poisson intensity function,” Statistical Methodology, vol. 4, no. 4, pp. 481–492, 2007.
- B. Dimitrov, S. Chukova, and D. Green Jr., “Probability distributions in periodic random environment and their applications,” SIAM Journal on Applied Mathematics, vol. 57, no. 2, pp. 501–517, 1997.
- B. Dimitrov, S. Chukova, and Z. Khalil, “Bivariate probability distributions similar to exponential,” in Approximation, Probability and Relates Fields, G. Anastassiou and S. Rachev, Eds., pp. 167–178, 1994.
- B. Dimitrov, S. Chukova, and D. Green Jr., “The bivariate probability distributions with periodic failure rate via hyperbolic differential equation,” Dynamics of Continuous, Discrete and Impulsive Systems, vol. 5, pp. 81–92, 1999.
- D. Roy, “On bivariate lack of memory property and a new definition,” Annals of the Institute of Statistical Mathematics, vol. 54, no. 2, pp. 404–410, 2002.
- P. Embrechts, A. McNeil, and D. Strauman, “Correlation and dependence in risk management: properties and pitfalls,” in Risk Management: Value at Risk and Beyond, M. Dempster and H. K. Mohatt, Eds., pp. 176–223, Cambridge University Press, Cambridge, UK, 2002.
- R. Nelsen, An Introduction to Copulas, Springer, New York, NY, USA, 2nd edition, 2006.
- U. Cherubini, E. Luciano, and W. Vecchiato, Copula Methods in Finance, Wiley, Chichester, UK, 2004.
- N. Kolev, U. Dos Anjos, and B. V. D. M. Mendes, “Copulas: a review and recent developments,” Stochastic Models, vol. 22, no. 4, pp. 617–660, 2006.
- B. Dimitrov and E. von Collani, “Contorted uniform and Pareto distributions,” Statistics and Probability Letters, vol. 23, no. 2, pp. 157–164, 1995.
- J. Galambos and S. Kotz, Characterization of Probability Distributions, vol. 675 of Lecture Notes in Mathematics, Springer, Berlin, Germany, 1978.