Maximum entropies copulas

AIP Conference Proceedings

Volumn 1305, Issue , 2010, Pages 329-336

  Pougaza, Doriano Boris ^a   Mohammad Djafari, Ali ^a  

^a UNIV PARIS SUD   (France)

Author keywords

Burg; Copula; Maximum entropy; R nyi; Shannon; Tsallis Havrda Charv t entropies

Indexed keywords

EID: 79954540149     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3573634     Document Type: Conference Paper

References (27)

1. D.-B. Pougaza, A. Mohammad-Djafari, and J.-F. Bercher, "Utilisation de la notion de copule en tomographie," in XXIIe colloque GRETSI, Dijon, France, 2009.
2. D.-B. Pougaza, A. Mohammad-Djafari, and J.-F. Bercher, Pattern Recognition Letters 31, 2258-2264 (2010).
3. J. Hadamard, Princeton University Bulletin 13, 49-52 (1902).
4. A. Sklar, Publications de l'Institut de Statistique de L'Université de Paris 8 pp. 229-231 (1959).
5. B. Schweizer, and A. Sklar, Probabilistic Metric Spaces, North Holland New York, 1983.
6. A. Marshall, and I. Olkin, Journal of the American Statistical Association pp. 30-44 (1967).
7. C. Genest, and J. MacKay, The American Statistician 40, 280-283 (1986).
8. H. Joe, Journal of multivariate analysis 46, 262-282 (1993).
9. E. Jaynes, Physical Review 106, 620-630 (1957).
10. E. Jaynes, Physical Review 108, 171-190 (1957).
11. A.Mohammad-Djafari, A Matlab Program to Calculate theMaximum Entropy Distributions, Kluwer Academic Publ., 1991, T.W. Grandy edn.
12. A. Mohammad-Djafari, Traitement du signal 11, 87-116 (1994).
13. H. Cramér, and H. Wold, J.London Math. Soc. 11, 290-294 (1936).
14. V. Strassen, The Annals of Mathematical Statistics 36, 423-439 (1965).
15. S. Kullback, The Annals of Mathematical Statistics pp. 1236-1243 (1968).
16. I. Csiszar, Ann. Probab 3, 146-158 (1975).
17. J. Borwein, A. Lewis, and R. Nussbaum, Journal of Functional Analysis 123, 264-307 (1994).
18. A. Meeuwissen, and T. Bedford, Journal of Statistical Computation and Simulation 57, 143-174 (1997).
19. R. Nelsen, An introduction to copulas, Springer Verlag, 2006.
20. C. Shannon, Bell System Technical Journal 27, 432-379 (1948).
21. A. Renyi, "On measures of entropy and information," in Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability, 1961, vol. 1, pp. 547-561.
22. J. Burg, Maximum entropy spectral analysis, Ph.D. thesis, Stanford University (1975).
23. J. Havrda, and F. Charvát, Kybernetika 3, 0-3 (1967).
24. C. Tsallis, Journal of statistical physics 52, 479-487 (1988).
25. D. Ellerman, Synthese 168, 119-149 (2009).
26. L. Nivanen, A. Le Mehaute, and Q. Wang, Reports on Mathematical Physics 52, 437-444 (2003).
27. S. Kotz, and J. Van Dorp, Beyond beta: other continuous families of distributions with bounded support and applications, World Scientific Pub Co Inc, 2004.