A general definition of conditional information and its application to ergodic decomposition

DOI10.1016/j.spl.2009.01.016zbMath1162.94326OpenAlexW2132766440MaRDI QIDQ1017828

Łukasz Dębowski

Publication date: 12 May 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/14594

Mathematics Subject Classification ID

Special processes (60K99) Applications of dynamical systems (37N99) Measures of information, entropy (94A17)

Related Items (5)

Properties of the statistical complexity functional and partially deterministic HMMs ⋮ On hidden Markov processes with infinite excess entropy ⋮ Variable-length coding of two-sided asymptotically mean stationary measures ⋮ On bounded redundancy of universal codes ⋮ Excess entropy in natural language: Present state and perspectives

Uses Software

• ITIP

Cites Work

• Improper regular conditional distributions
• A conditional product measure theorem
• The ergodic decomposition of stationary discrete random processes
• Foundations of Modern Probability
• Atomic and Nonatomic Measures
• Regularities unseen, randomness observed: Levels of entropy convergence
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