On a sum form functional equation and its applications in information theory and statistics
type: Item
instance of: scholarly article
title: On a sum form functional equation and its applications in information theory and statistics
zbMATH Open document ID: 1216.39030
author: Prem Nath
author: Dhiraj Kumar Singh
published in: Aequationes Mathematicae
publication date: 2011-03-31T00:00:00Z
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 94A15
Mathematics Subject Classification ID: 62B10
Mathematics Subject Classification ID: 94A24
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 5872781
zbMATH Keywords: Shannon entropy
zbMATH Keywords: entropies of degree \(\alpha\)
zbMATH Keywords: moments of a discrete random variable
zbMATH Keywords: additive mapping
zbMATH Keywords: multiplicative mapping
zbMATH Keywords: logarithmic mapping
zbMATH Keywords: sum form functional equation
zbMATH Keywords: information theory
zbMATH Keywords: statistics
MaRDI profile type: Publication
full work available at URL: s00010-010-0057-7
OpenAlex ID: W1990348065
cites work: On a Functional Equation
cites work: Q5563736
cites work: Q5564905
cites work: Q3684554
cites work: On some functional equations of the information theory
cites work: On some sum form functional equations related to information theory
cites work: On the measurable solutions of some functional equations useful in information theory
cites work: ON A SUM FORM FUNCTIONAL EQUATION RELATED TO ENTROPIES AND SOME MOMENTS OF A DISCRETE RANDOM VARIABLE
cites work: A Mathematical Theory of Communication
DOI: 10.1007/S00010-010-0057-7
description: scientific article; zbMATH DE number 5872781