A Proof of Steutel's Conjecture

Gundorph K. Kristiansen

doi:10.1214/aop/1176988867

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Home > Journals > Ann. Probab. > Volume 22 > Issue 1 > Article

January, 1994 A Proof of Steutel's Conjecture

Gundorph K. Kristiansen

Ann. Probab. 22(1): 442-452 (January, 1994). DOI: 10.1214/aop/1176988867

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Abstract

A proof is given of a conjecture, due to F. W. Steutel: the set of positive $\alpha$-values, for which any positive mixture of $\Gamma(\alpha)$-distributions is infinitely divisible, is the interval (0, 2].