Rényi entropies of projections

IEEE International Symposium on Information Theory - Proceedings

Volumn , Issue , 2006, Pages 1827-1830

  Harremoës, Peter ^a   Vignat, Christophe ^b  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

FINETTI THEOREM; PROJECTIONS; UNIFORM DISTRIBUTIONS; VARIANCE;

ASYMPTOTIC ANALYSIS; OPTIMIZATION; THEOREM PROVING;

DISTRIBUTION FUNCTIONS;

EID: 39049158256     PISSN: 21578101     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2006.261750     Document Type: Conference Paper

References (9)

1. S. Rachev and L. Rüschendorf, "Approximate independence of distributions on spheres and their stability properties," The Annals of Probability, vol. 19, no. 3, pp. 1311-1337, 1991.
2. p-norm uniform distribution," in Proc. American Mathematical Society, vol. 125, pp. 595-601, Feb. 1997.
3. F. Barthe, M. Csornyei, and A. Naor, A note on simultaneous polar and Cartesian decomposition, vol. 1807 of Springer Notes in Mathematics, pp. 1-19. Springer, 2003.
4. J. Costa, A. Hero, and C. Vignat, On solutions to multivariate maximum a-entropy problems, vol. 2688 of Lecture Notes in Computer Science, pp. 211-228. Berlin: Springer, 2003.
5. O. Johnson and C. Vignat, "Some results concerning maximum Rényi entropy." Unpublished, 2005.
6. P. Diaconis and D. Friedman, "A dozen de Finetti-style results in search of a theory," Ann. Inst. Henri Poincaré, vol. 23-2, pp. 397-423, 1987.
7. I. Csiszár, "Sanov property, generalized I-projection and a conditional limit theorem," Ann. Probab., vol. 12, pp. 768-793, 1984.
8. O. Johnson, "Entropy and a generalisation of Poincaré's observation," Mathematical Proceeding of the Cambridge Philosophical Society, vol. 135, no. 2, pp. 375-384, 2003.
9. T. Cover and J. A. Thomas, Elements of Information Theory. Wiley, 1991.