Convex cores of measures on ℝd

Studia Scientiarum Mathematicarum Hungarica

Volumn 38, Issue 1-4, 2002, Pages 177-190

  Csiszar I ^a   Matus F ^b  

^a ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

^b INSTITUTE OF INFORMATION THEORY AND AUTOMATION   (Czech Republic)

Author keywords

Convex sets in n dimensions; Convex support; Convolution; Exponential family; Lattice of faces; Means of probabilities

Indexed keywords

EID: 0010075422     PISSN: 00816906     EISSN: None     Source Type: Journal    
DOI: 10.1556/sscmath.38.2001.1-4.12     Document Type: Article

References (5)

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2. CHENTSOV, N. N., Statisticheskie reshayushchie pravila i optimalnye vyvody, Izdat. "Nauka", Moskva, 1972. MR 49 #8140. Translation: Statistical decision rules and optimal inference, Translations of Mathematical Monographs, Amer. Math. Soc., Providence, RI, 1982.
3. CSISZÁR, I. and MATÚŠ, F., Information projections revisited, Proc. 2000 International Symposium on Information Theory, June 25-30, 2000, Sorrento, Italy, p. 490.
4. ROCKAFELLAR, R. T., Convex analysis, Princeton Mathematical Series, No. 28, Princeton University Press, Princeton, NJ, 1970. MR 43 #445
5. ZIEGLER, G. M., Lectures on polytopes, Graduate Texts in Mathematics, 152, Springer-Verlag, New York, 1995. MR 96a:52011