R\'enyi Divergence and Majorization

A. Rényi, “On measures of entropy and information,” in Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability

1961

Earlier work this paper cites.

New York: Academic Press, 1979

A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications · 1979

Earlier work this paper cites.

D. Aldous and P. Diaconis, “Strong uniform times and finite random walks,” Advances in Applied Mathematics

1987

Earlier work this paper cites.

Wiley, 1991

T. Cover and J. A. Thomas, Elements of Information Theory · 1991

Earlier work this paper cites.

E. Arikan, “An inequality on guessing and its application to sequential decoding,” IEEE Trans. Inform. Theory

1996

Cited alongside, same era.

A. L. Gibbs and F. E. Su, “On choosing and bounding probability metrics,” International Statistical Review

2002

Cited alongside, same era.

F. Cicalese and U. Vaccaro, “Supermodularity and subadditivity of the entropy on the majorization lattice,” IEEE Trans. Inform. Theory

2002

Cited alongside, same era.

P. Harremoës, “A new look on majorization,” in Proceedings ISITA 2004

2004

Cited alongside, same era.

M. Klimesh, “Entropy measures and catalysis of bipartite quantum state transformations,” in Proceedings 2004 IEEE International Symposium on Information Theory

Original

2004

Later among the works it cites.

P. Harremoës, “Interpretations of Rényi entropies and divergences,” Physica A: Statistical Mechanics and its Applications

2006

Later among the works it cites.

F. Liese and I. Vajda, “On divergence and informations in statistics and information theory,” IEEE Tranns. Inform. Theory

2006

Later among the works it cites.

To appear in a special Issue entitled ”Entropy in Model Reduction”

A. N. Gorban, P. A. Gorban, and G. Judge, “The markov ordering approach,” Entropy · 2010

Closest in time.