Geodesic
New checkable conditions for moment determinacy of probability distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 65 (2020) no. 3, pp. 634-648 Cet article a éte moissonné depuis la source Math-Net.Ru

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We have analyzed some conditions which are essentially involved in deciding whether or not a probability distribution is unique (moment-determinate) or nonunique (moment-indeterminate) by its moments. We suggest new conditions concerning both absolutely continuous and discrete distributions. By using the new conditions, which are easily checkable, we either establish new results or extend previous ones in both the Hamburger case (distributions on the whole real line) and the Stieltjes case (distributions on the positive half-line). Specific examples illustrate the results as well as the relationship between the new conditions and previously available conditions.
Keywords: probability distributions, Hamburger moment problem, Krein's condition
Mots-clés : moments, Stieltjes moment problem, Carleman's condition, condition (L). 
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J. M. Stoyanov; G. D. Lin; P. Kopanov. New checkable conditions for moment determinacy of probability distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 65 (2020) no. 3, pp. 634-648. http://geodesic.mathdoc.fr/item/TVP_2020_65_3_a9/

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