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- W3006392038 abstract "We study the relationship between the well-known Carleman's condition guaranteeing that a probability distribution is uniquely determined by its moments, and a recent, easily checkable condition on the rate of growth of the moments. We use asymptotic methods in the theory of integrals and involve properties of the Lambert $W$-function to show that the quadratic growth rate of the ratios of consecutive moments as a sufficient condition for uniqueness is slightly more restrictive than Carleman's condition. We derive a series of statements, one of which shows that Carleman's condition does not imply Hardy's condition, although the inverse implication is true. Related topics are also discussed." @default.
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- W3006392038 date "2020-01-01" @default.
- W3006392038 modified "2023-09-27" @default.
- W3006392038 title "On Conditions for a Probability Distribution to Be Uniquely Determined by Its Moments" @default.
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- W3006392038 doi "https://doi.org/10.1137/s0040585x97t989714" @default.
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