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A distribution is completely determined by its translated moments

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete (1983) 62(3) 355-359
DOI: 10.1007/BF00535259
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Abstract

Suppose the random variable X has finite p'th moment. If p is not an even integer, then the distribution of X is completely determined by the sequence of translated moments, E|X+a|p,-∞

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Hall, P. (1983). A distribution is completely determined by its translated moments. Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, 62(3), 355–359. https://doi.org/10.1007/BF00535259

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