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On a characterization property of the multinomial distribution

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Trabajos de estadistica y de investigacion operativa

Summary

If the sum of two independent k-dimensional non-negative random variables is distributed as a multinomial, it is shown that the summands must be individually multinomial variates with the same set of probabilities.

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References

  1. Cramer, H. (1936).—Uber eine Eigenschaft der normalen Verteilungsfunktion. Math. Zs., 41, 405–414.

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Authors
  1. D. N. Shanbhag
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  2. I. V. Basawa
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Shanbhag, D.N., Basawa, I.V. On a characterization property of the multinomial distribution. Trab. Estad. Invest. Oper. 25, 109–112 (1974). https://doi.org/10.1007/BF03030154

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  • DOI: https://doi.org/10.1007/BF03030154

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