Asymptotics of the Shannon and Renyi entropies for sums of independent random variables

IEEE International Symposium on Information Theory - Proceedings

Volumn , Issue , 1998, Pages 376-

  D'Yachkov, A G ^a   Vilenkin, P A ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTICS; IDENTICALLY DISTRIBUTED RANDOM VARIABLES; LOCAL LIMIT THEOREM; RENYI ENTROPY; SHANNON; SUMS OF INDEPENDENT RANDOM VARIABLES;

INFORMATION THEORY;

RANDOM VARIABLES;

EID: 77951605733     PISSN: 21578095     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.1998.708981     Document Type: Conference Paper

References (6)

1. A. Renyi, "On measures of entropy and information," Proc. Fourth Berkeley Symposium on Math. Stat. Prob., vol. 1, pp. 547-561, Univ. of Calif. Press, Berkeley-Los Angeles, 1961.
2. V.V. Petrov, "Sums of independent random variables", Nauka, Moscow, 1972, (in Russian).
3. A.G. D'yachkov, A.M. Rashad, "Universal decoding for random design of screening experiments," Microelectronics & Reliability, vol. 29, no. 6, pp. 965-971, 1989.
4. B.L. Hughes, A.B. Cooper, "Nearly optimal multiuser codes for the binary adder channel," IEEE Trans. Inform. Theory, vol. 42, no. 2, pp. 387-398, 1996.
5. A.G. D'yachkov, "On detecting matrices," Proc. Fourth International Symposium on Inform. Theory, pt. 1, Leningrad, 1976, (in Russian).
6. A.G. D'yachkov, "Asymptoticsof the Shannon entropy for sums of independent random variables," Fundamentalnaya i priklad-naya matematika, vol. 2, no. 6, 1996, (in Russian).