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Regularity property of the functional equation of the Dirichlet distribution

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It is proved that all density functions satisfying a functional equation which has been used to characterize the Dirichlet distribution, are everywhere positive and \( \cal {C} ^{\infty} \).

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Received: September 17, 1996; revised version: July 10, 1997

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Járai, A. Regularity property of the functional equation of the Dirichlet distribution. Aequ. Math. 56, 37–46 (1998).

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