论文标题

二项式和负二项式累积分布函数的渐近反演

Asymptotic inversion of the binomial and negative binomial cumulative distribution functions

论文作者

Gil, A., Segura, J., Temme, N. M.

论文摘要

二项式和负二项式累积分布函数的计算和反转在许多应用中起着关键作用。在本文中,我们解释了用于中央β分布函数的方法(在[2]中描述)如何用于获得这些功能的渐近表示以及其反转。用数值示例说明了渐近反演方法的性能。

The computation and inversion of the binomial and negative binomial cumulative distribution functions play a key role in many applications. In this paper, we explain how methods used for the central beta distribution function (described in [2]) can be used to obtain asymptotic representations of these functions, and also for their inversion. The performance of the asymptotic inversion methods is illustrated with numerical examples.

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