Some Coding Theorems for Nonadditive Generalized Mean-Value Entropies

We give an optimality characterization of nonadditive generalized mean-value entropies from suitable nonadditive and generalized mean-value properties of the measure of average length. The results obtained cover many results obtained by other authors as particular cases, as well as the ordinary leng...

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Bibliographic Details
Main Authors: Satish Kumar, Gurdas Ram, Vishal Gupta
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/315686
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Summary:We give an optimality characterization of nonadditive generalized mean-value entropies from suitable nonadditive and generalized mean-value properties of the measure of average length. The results obtained cover many results obtained by other authors as particular cases, as well as the ordinary length due to Shannon 1948. The main instrument is the 𝑙(𝑛𝑖) function of the word lengths in obtaining the average length of the code.
ISSN:0161-1712
1687-0425