Integral representations and asymptotic expansions for Shannon and Renyi entropies

Applied Mathematics Letters

Volumn 11, Issue 2, 1998, Pages 69-74

  Knessl, C ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

Asymptotic expansions; Entropy; Information theory

Indexed keywords

EID: 0041352527     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(98)00013-5     Document Type: Article

References (10)

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2. A. Renyi, On the foundations of information theory, Rev. Inst. Intern. Statist. 33, 1-14, (1965).
3. I. Csiszar, Generalized cut-off rates and Renyi information measures, IEEE Trans. Information Theory 41, 26-34, (1995).
4. S. Chang and E. Weldon, Coding for T-user multiple-access channels, IEEE Trans. Information Theory 25, 684-691, (1979).
5. P. Jacquet and W. Szpankowski, Toward analytical information theory: Entropy computations, (preprint).
6. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, Fifth Edition, Academic Press, Boston, MA, (1994).
7. N. Bleistein and R.A. Handelsman, Asymptotic Expansions of Integrals, Dover, New York, (1986).
8. C. Knessl, University of Illinois at Chicago, handwritten notes (available upon request).
9. J.L. Jensen, Saddlepoint expansions for sums of Markov dependent variables on a continuous state space, Prob. Theory and Related Fields 89, 181-199, (1991).
10. H.D. Miller, A convexity property in the theory of random variables on a finite Markov chain, Ann. Math. Statist. 32, 1260-1270, (1961).