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Stieltjes moment problem via fractional moments
Applied Mathematics and Computation, 2005The authors extend a procedure for the reconstruction of probability density function from the knowledge of its infinite sequence of ordinary moments [cf. the authors, ibid. 144, No. 1, 61--74 (2003; Zbl 1029.44003)] from the case of distributions with finite positive support (Hausdorff case) to the case where the distribution has \([0,\infty ...
Novi Inverardi, Pier Luigi +3 more
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1943
This book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna ...
J. Shohat, J. Tamarkin
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This book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna ...
J. Shohat, J. Tamarkin
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Mathematical Proceedings of the Cambridge Philosophical Society, 1949
1. The problem in question is to find a necessary and sufficient condition which numbers co, …, cm must satisfy in order that there shall be a non-decreasing function σ(t) such thatwhere (a, b) is an unbounded interval. (When (a, b) is a bounded interval, the problem has been solved.
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1. The problem in question is to find a necessary and sufficient condition which numbers co, …, cm must satisfy in order that there shall be a non-decreasing function σ(t) such thatwhere (a, b) is an unbounded interval. (When (a, b) is a bounded interval, the problem has been solved.
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Statistics & Probability Letters, 1997
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On the Relation between the Scalar Moment Problem and the Matrix Moment Problem on *-Semigroups
Semigroup Forum, 2004The author presents an example of a commutative \(*\)-semigroup with identity which is semiperfect of order~\(1\) but not of order~\(2\). Here, a commutative \(*\)-semigroup \(S\) is called semiperfect of order \(d\) (where \(d\) is a positive integer) if every matrix-valued function \(f: S\to M_d({\mathbb C})\) of positive type is of the form \(f(s ...
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Hausdorff moment problem and fractional moments: A simplified procedure
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Discrete Moment Problem with Nonconvex Shape Constraints
Operations Research, 2021Xi Chen +2 more
exaly
A NUMERICAL SOLUTION OF THE PROBLEM OF MOMENTS
Biometrika, 1947Hartley, H. O., Khamis, D. H.
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