On a sum form functional equation and its applications in information theory and statistics

DOI10.1007/S00010-010-0057-7zbMath1216.39030OpenAlexW1990348065MaRDI QIDQ633254

Dhiraj Kumar Singh, Prem Nath

Publication date: 31 March 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-010-0057-7

zbMATH Keywords

information theoryShannon entropystatisticsadditive mappinglogarithmic mappingentropies of degree \(\alpha\)moments of a discrete random variablemultiplicative mappingsum form functional equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52) Measures of information, entropy (94A17) Information theory (general) (94A15) Statistical aspects of information-theoretic topics (62B10) Coding theorems (Shannon theory) (94A24)

Related Items (1)

On the general solutions of three functional equations

Cites Work

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• A Mathematical Theory of Communication
• On some sum form functional equations related to information theory
• ON A SUM FORM FUNCTIONAL EQUATION RELATED TO ENTROPIES AND SOME MOMENTS OF A DISCRETE RANDOM VARIABLE
• On some functional equations of the information theory
• On the measurable solutions of some functional equations useful in information theory
• On a Functional Equation

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