论文信息 - Hausdorff moment problem and maximum entropy: A unified approach

Hausdorff moment problem and maximum entropy: A unified approach

Hausdorff moment problem in the approach of maximum entropy is reconsidered. Some aspects, as existence condition, entropy convergence, entropy decreasing, stability are studied through a unified approach. Results known in literature and some new ones are illustrated

Aldo Tagliani | A. Tagliani

[1] L. Mead,et al. Maximum entropy in the problem of moments , 1984 .

[2] Gabriele Inglese. A note about minimum relative entropy solutions of finite moment problems , 1995 .

[3] Jonathan M. Borwein,et al. Convergence of Best Entropy Estimates , 1991, SIAM J. Optim..

[4] M. Kreĭn,et al. The Markov Moment Problem and Extremal Problems , 1977 .

[5] G. Talenti. Recovering a function from a finite number of moments , 1987 .

[6] I. Csiszár. $I$-Divergence Geometry of Probability Distributions and Minimization Problems , 1975 .

[7] Aldo Tagliani,et al. Maximum entropy in the finite Stieltjes and Hamburger moment problem , 1994 .

[8] J. Shohat,et al. The problem of moments , 1943 .

[9] J. Shohat,et al. A general theory of the problem of moments , 1943 .

[10] J. N. Kapur. Maximum-entropy models in science and engineering , 1992 .

[11] S. Kullback,et al. Information Theory and Statistics , 1959 .

[12] L. Shapley,et al. Geometry of Moment Spaces , 1953 .

[13] G. Pólya,et al. Problems and theorems in analysis , 1983 .

[14] E. T. Jaynes,et al. Where do we Stand on Maximum Entropy , 1979 .