Abstract
A uniqueness and a characterization theorem are given for the density function over the interval $\lbrack - 1, 1\rbrack$ with a given finite sequence of moments whose square has the smallest possible integral. Extensions are indicated.
Citation
Lionel Weiss. "A Certain Class of Solutions to a Moment Problem." Ann. Math. Statist. 27 (3) 851 - 853, September, 1956. https://doi.org/10.1214/aoms/1177728195
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