A generalization of Ornstein's \(\overline d\) distance with applications to information theory

DOI10.1214/aop/1176996402zbMath0304.94025OpenAlexW1983537136MaRDI QIDQ1217064

Paul C. Shields, David L. Neuhoff, Robert M. Gray

Publication date: 1975

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176996402

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Signal detection and filtering (aspects of stochastic processes) (60G35) Information theory (general) (94A15) Coding theorems (Shannon theory) (94A24) Source coding (94A29)

Related Items

Optimum quantization and its applications ⋮ Infinite-dimensional quadrature and approximation of distributions ⋮ La distance de réarrangement, duale de la fonctionnelle de Bowen ⋮ Unnamed Item ⋮ The Wasserstein distance of order 1 for quantum spin systems on infinite lattices ⋮ Wasserstein distance between noncommutative dynamical systems ⋮ Finitely determined processes - An indiscrete approach ⋮ On the empirical estimation of integral probability metrics ⋮ Empirical risk minimization and complexity of dynamical models ⋮ Unnamed Item ⋮ On divergences of finite measures and their applicability in statistics and information theory ⋮ Unnamed Item ⋮ On a very weak bernoulli condition^† ⋮ Versik Processes and Very Weak Bernoulli Processes with Summable Rates are Independent ⋮ Finitely determined processes in metric spaces ⋮ Some contributions to the $$\bar \rho $$ -distance for stationary processes ⋮ Strong approximation of very weak Bernoulli processes