On the inequality \(\sum p_if(p_i) \geq \sum p_if(q_i)\).

DOI10.1007/BF02614249zbMath0241.26017OpenAlexW2085956070MaRDI QIDQ2553702

Pal Fischer

Publication date: 1972

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/175508

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Information theory (general) (94A15) Axioms; other general questions in probability (60A05)

Related Items (10)

ON SOME INEQUALITIES AND GENERALIZED ENTROPIES: A UNIFIED APPROAC ⋮ On a generalization of the Shannon functional inequality ⋮ A mixed theory of information. V: How to keep the (inset) expert honest ⋮ Relative and Discrete Utility Maximising Entropy ⋮ On the inequality \(\sum g(p_i) f(p_i) \geq \sum g(p_i) f(q_i)\) ⋮ On the characterization of Shannon's entropy by Shannon's inequality ⋮ Sur l'inégalité \(\sum[p_if(p_i)+q_if(q_i)\geq\sum[p_if(q_i)+q_if(p_i)]\)] ⋮ Entropy of shortest distance (ESD) as pore detector and pore-shape classifier ⋮ On Bellman's functional equation ⋮ Measuring information beyond communication theory - why some generalized information measures may be useful, others not

Cites Work

• Remarks on the measurement of subjective probability and information
• MEASURES OF THE VALUE OF INFORMATION
• Centralization and Decentralization in Economic Organizations

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