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Characterization of the multivariate Poisson distribution. (English) Zbl 0358.62012


MSC:

62E10 Characterization and structure theory of statistical distributions
62J05 Linear regression; mixed models
60E05 Probability distributions: general theory
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References:

[1] Cuppens, R., Sur les produits finis de lois de Poisson, C. R. Acad. Sci. Paris, 266, 726-728 (1968) · Zbl 0179.48103
[2] Lévy, P., Observations sur la note precedente, C. R. Acad. Sci. Paris, 266, 728-729 (1968) · Zbl 0179.48201
[3] Lukacs, E.; Laha, R. G., (Applications of Characteristic Functions (1964), Charles Griffin: Charles Griffin London) · Zbl 0117.36402
[4] Lukacs, E., On the characterization of a family of populations which includes Poisson populations, Ann. Univ. Sci. Budapest, 3-4, 159-175 (1960/1961) · Zbl 0121.14501
[5] Teicher, H., On the multivariate Poisson distribution, Skand. Akt., 37, 1-9 (1954) · Zbl 0056.35801
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