Existence and stability of a discrete probability distribution by maximum entropy approach

Applied Mathematics and Computation

Volumn 110, Issue 2-3, 2000, Pages 105-114

  Tagliani, Aldo ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

Convex hull; Entropy; Hankel determinant; Moment problem; Probability distribution

Indexed keywords

EID: 0040364174     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)00034-4     Document Type: Article

References (8)

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3. Alhassid Y., Agmon N., Levine R.D. An upper bound for the entropy and its applications to the maximal entropy problem. Chem. Phys. Lett. 53:1978;22-26.
4. R. Schneider, Convex bodies: The Brunn-Minkowsky Theory, Encyclopedia of Mathematics and its Applications, Cambridge, 1993.
5. J.N. Kapur, Maximum-Entropy Models in Science and Engineering, Wiley, New York, 1989.
6. M.G. Krein, A.A. Nudelman, The Markov moment problem and extremal problems, Amer. Math. Soc. Vol. 50 (1977).
7. S. Karlin, L.S. Shapley, Geometry of moment spaces, Memoirs of the Amer. Math. Soc. Vol. 12 (1953).
8. A. Tagliani, Existence and convergence of a discrete probability distribution with assigned moments, Statistica, LVIII 1 (1998) 109-128.