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Paper detail

Positive stable densities and the bell-shape

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.

preprint2013arXivOpen access
Thomas Simon
math.PRmath.STStatistics Theory
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