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Volumn 144, Issue 1, 2003, Pages 61-74

Hausdorff moment problem via fractional moments

Author keywords

Entropy; Fractional moments; Hankel matrix; Maximum entropy; Moments

Indexed keywords

ENTROPY; MATRIX ALGEBRA; METHOD OF MOMENTS;

EID: 0037706846     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00391-0     Document Type: Article
Times cited : (36)

References (10)
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    • Fasino D. Spectral properties of Hankel matrices and numerical solutions of finite moment problems. J. Comput. Appl. Math. 65:1995;145-155.
    • (1995) J. Comput. Appl. Math. , vol.65 , pp. 145-155
    • Fasino, D.1
  • 2
    • 0001467479 scopus 로고
    • Recovering a function from a finite number of moments
    • Talenti G. 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
  • 3
    • 0003324696 scopus 로고
    • Geometry of moment spaces
    • Providence, RI
    • Karlin S., Shapley L.S. Geometry of moment spaces. AMS Memoirs, Providence, RI. 12:1953.
    • (1953) AMS Memoirs , vol.12
    • Karlin, S.1    Shapley, L.S.2
  • 5
    • 0034415996 scopus 로고    scopus 로고
    • The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
    • Beckermann B. The condition number of real Vandermonde, Krylov and positive definite Hankel matrices. Numerische Mathematik. 85:2000;553-577.
    • (2000) Numerische Mathematik , vol.85 , pp. 553-577
    • Beckermann, B.1
  • 6
    • 0000896444 scopus 로고
    • Convergence of best entropy estimates
    • Borwein J.M., Lewis A.S. Convergence of best entropy estimates. SIAM J. Optim. 1:1991;191-205.
    • (1991) SIAM J. Optim. , vol.1 , pp. 191-205
    • Borwein, J.M.1    Lewis, A.S.2
  • 7
    • 84941465845 scopus 로고
    • A lower bound for discrimination information in terms of variation
    • Kullback S. A lower bound for discrimination information in terms of variation. IEEE Trans. Inform. Theory. 13:1967;126-127.
    • (1967) IEEE Trans. Inform. Theory , vol.13 , pp. 126-127
    • Kullback, S.1
  • 8
    • 0010611637 scopus 로고
    • Characterizations of distributions via moments
    • Lin G.D. Characterizations of Distributions via moments. Sankhya: The Ind. J. Statist., Ser. A. 54:1992;128-132.
    • (1992) Sankhya: The Ind. J. Statist., Ser. A , vol.54 , pp. 128-132
    • Lin, G.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.