A note on the IPF algorithm when the marginal problem is unsolvable

Kybernetika

Volumn 39, Issue 6, 2003, Pages 731-737

  Asci, Claudio ^a   Piccioni, Mauro ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Contingency tables; Hierarchical models; Partial maximization algorithms

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; GRAPH THEORY; HIERARCHICAL SYSTEMS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION;

CONTIGENCY TABLES; HIERARCHICAL MODELS; PARTIAL MAXIMIZATION ALGORITHMS;

PROBLEM SOLVING;

EID: 1642270452     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. I. Csiszár: I-divergence geometry of probability distributions and minimization problems. Ann. Probab. 3 (1975), 146-158.
2. W. E. Deming and F. F. Stephan: On a least square adjustment of a sampled frequency table when the expected marginal totals are known. Ann. Math. Statist. 11 (1940), 427-444.
3. S. J. Haberman: The analysis of frequency data. The University of Chicago Press, Chicago 1974.
4. S.T. Jensen, S. Johansen, and S.L. Lauritzen: Globally convergent algorithms for maximizing a likelihood function. Biometrika 78 (1991), 867-877.
5. R. Jiroušek: Solution of the marginal problem and decomposable distributions. Kybernetika 27(1991), 403-412.
6. S. L. Lauritzen: Graphical Models. Clarendon Press, Oxford 1996.