Summary
A characterization theorem based on the proportional relation between two truncated moments is proved for both continuous and discrete distributions. The results are applied for characterizing distributions of Pearson's system and its discrete analogon.
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Glänzel, W., Teles, A. & Schubert, A. Characterization by truncated moments and its application to Pearson-type distributions. Z. Wahrscheinlichkeitstheorie verw Gebiete 66, 173–183 (1984). https://doi.org/10.1007/BF00531527
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DOI: https://doi.org/10.1007/BF00531527