메뉴 건너뛰기




Volumn 105, Issue 2-3, 1999, Pages 291-305

Hausdorff moment problem and maximum entropy: A unified approach

Author keywords

Convex hull; Entropy; Hankel determinant; Moment problem

Indexed keywords


EID: 0011102046     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10084-X     Document Type: Article
Times cited : (73)

References (14)
  • 1
    • 0002260533 scopus 로고
    • Where do we stand on maximum entropy
    • R.D. Levine, M. Tribus (Eds.), MIT Press, Cambridge, MA
    • E.T. Jaynes, Where do we stand on maximum entropy, in: R.D. Levine, M. Tribus (Eds.), The Maximum Entropy Formalism, MIT Press, Cambridge, MA, 1978, pp. 15-118.
    • (1978) The Maximum Entropy Formalism , pp. 15-118
    • Jaynes, E.T.1
  • 2
    • 0000546609 scopus 로고
    • I-divergence geometry of probability distributions and minimization problems
    • I. Csiszar, I-divergence geometry of probability distributions and minimization problems, The Annals of Probability 1 (1975) 146-158.
    • (1975) The Annals of Probability , vol.1 , pp. 146-158
    • Csiszar, I.1
  • 4
    • 0000896444 scopus 로고
    • Convergence of best entropy estimates
    • J.M. Borwein, A.S. Lewis, Convergence of best entropy estimates, SIAM J. Optimization 1 (1991) 191-205.
    • (1991) SIAM J. Optimization , vol.1 , pp. 191-205
    • Borwein, J.M.1    Lewis, A.S.2
  • 5
    • 7244247445 scopus 로고
    • Maximum entropy in the problem of moments
    • L.R. Mead, N. Papanicolau, Maximum entropy in the problem of moments, J. Math. Physics 25 (1984) 2404-2417.
    • (1984) J. Math. Physics , vol.25 , pp. 2404-2417
    • Mead, L.R.1    Papanicolau, N.2
  • 6
    • 0242679132 scopus 로고
    • A note about minimum relative entropy solutions of finite moment problems
    • G. Inglese, A note about minimum relative entropy solutions of finite moment problems, Numer. Funct. Anal, and Optimiz. 16 (1995) 1143-1153.
    • (1995) Numer. Funct. Anal, and Optimiz. , vol.16 , pp. 1143-1153
    • Inglese, G.1
  • 8
    • 0003324696 scopus 로고
    • Geometry of moment spaces
    • Providence RI
    • S. Karlin, L.S. Shapley, Geometry of moment spaces, AMS Memoirs 12, Providence RI, 1953.
    • (1953) AMS Memoirs , vol.12
    • Karlin, S.1    Shapley, L.S.2
  • 9
    • 0003197687 scopus 로고
    • The Markov moment problem and extremal problems
    • M.G. Krein, A.A. Nudelman, The Markov moment problem and extremal problems, Amer. Math. Soc. 12 (1977).
    • (1977) Amer. Math. Soc. , vol.12
    • Krein, M.G.1    Nudelman, A.A.2
  • 12
    • 21844486350 scopus 로고
    • Maximum entropy in the finite Stieltjes and Hamburger moment problem
    • M. Frontini, A. Tagliani, Maximum entropy in the finite Stieltjes and Hamburger moment problem, J. Math. Physics 35 (1994) 6748-6756.
    • (1994) J. Math. Physics , vol.35 , pp. 6748-6756
    • Frontini, M.1    Tagliani, A.2
  • 13
    • 0001467479 scopus 로고
    • Recovering a function from a finite number of moments
    • G. Talenti, Recovering a function from a finite number of moments, Inverse Problems 3 (1987) 501-517.
    • (1987) Inverse Problems , vol.3 , pp. 501-517
    • Talenti, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.