正稳定密度与钟形

摘要：

我们证明了正稳定密度是钟形的，即它们的n阶导数在（0，+oo）上恰好消失n次，并且具有交替的符号序列。这证实了Holt和Crow（1973）在正情况下的图形预测。

英文摘要：

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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