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arXiv · 1302.0956

Positive stable densities and the bell-shape

Thomas Simon
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Abstract

We show that positive stable densities are bell-shaped, that is their n-th derivatives vanish exactly n times on (0,+oo) and have an alternating sign sequence. This confirms the graphic predictions of Holt and Crow (1973) in the positive case.

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Thomas Simon. 2013-02-05. Positive stable densities and the bell-shape. https://arxiv.org/abs/1302.0956

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