Title :
Asymptotics of the Shannon and Renyi entropies for sums of independent random variables
Author :
D´yachkov, A.G. ; Vilenkin, Pavel A.
Author_Institution :
Fac. of Mech. & Math., Moscow State Univ., Russia
Abstract :
With the help of the local limit theorem we investigate the asymptotics of the Shannon and Renyi (1961) entropies for sums of independent identically distributed random variables
Keywords :
entropy; random processes; Renyi entropy; Shannon entropy; asymptotics; i.i.d. random variables; independent identically distributed random variables; local limit theorem; Chebyshev approximation; Decoding; Entropy; Mathematics; Microelectronics; Polynomials; Random variables;
Conference_Titel :
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-5000-6
DOI :
10.1109/ISIT.1998.708981
