Continuity of f-projections and applications to the iterative proportional fitting procedure

DOI10.1080/02331888.2017.1289531zbMath1419.62013OpenAlexW2588594409MaRDI QIDQ5283167

Christoph Gietl, Fabian P. Reffel

Publication date: 20 July 2017

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2017.1289531

zbMATH Keywords

iterative proportional fitting\(f\)-divergence\(f\)-projectioncontinuity of \(f\)-projectionsdependence on input matrix and marginals

Mathematics Subject Classification ID

Convex programming (90C25) Contingency tables (62H17) Statistical aspects of information-theoretic topics (62B10)

Cites Work

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• An Axiomatic Approach to Proportionality Between Matrices
• On Minimum Divergence Adaptation of Discrete Bivariate Distributions to Given Marginals
• The Sinkhorn–Knopp Algorithm: Convergence and Applications
• A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
• On divergences of finite measures and their applicability in statistics and information theory
• Convex analysis and monotone operator theory in Hilbert spaces

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