Free infinite divisibility for beta distributions and related ones

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Free infinite divisibility for beta distributions and related ones ∗

We prove that many of beta, beta prime, gamma, inverse gamma, Student tand ultraspherical distributions are freely infinitely divisible, but some of them are not. The latter negative result follows from a local property of probability density functions. Moreover, we show that the Gaussian, many of ultraspherical and Student t-distributions have free divisibility indicator 1.

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ژورنال

عنوان ژورنال: Electronic Journal of Probability

سال: 2014

ISSN: 1083-6489

DOI: 10.1214/ejp.v19-3448