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The so-called moment problem in theory of probabilities is a mathematically quite complex one. The discussion is normally done separately for various classes of support of the probability distribution, namely, for the [0,1] support (Hausdorff moment problem), the [0,∞) support (Stieltjes moment problem), and the (-∞,∞) support (Hamburger moment problem). General necessary and sufficient conditions are still elusive (Refs.).
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The so-called moment problem in theory of probabilities is a mathematically quite complex one. The discussion is normally done separately for various classes of support of the probability distribution, namely, for the [0,1] support (Hausdorff moment problem), the [0,∞) support (Stieltjes moment problem), and the (-∞,∞) support (Hamburger moment problem). General necessary and sufficient conditions are still elusive (Refs.).
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