Abstract
Four types of celebrated random partitions are characterized. The types are ordered and unordered partitions of a finite set and those of a number. The random partitions are closely related and have been studied in population genetics under the names Hoppe’s urn, Donnelly-Tavaré-Griffiths formula and Ewens’ sampling formula. Characterizations of Ewens’ sampling formula in this paper improve those by Kingman (1978) and Donnelly (1986).
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Sibuya, M., Yamato, H. Characterization of some random partitions. Japan J. Indust. Appl. Math. 12, 237–263 (1995). https://doi.org/10.1007/BF03167290
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DOI: https://doi.org/10.1007/BF03167290