On Dümbgen's exponentially modified Laplace continued fraction for Mill's ratio

Florin Avram

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arXiv · 1306.2989

On Dümbgen's exponentially modified Laplace continued fraction for Mill's ratio

Florin Avram

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Abstract

The approximation of the Gaussian cumulative distribution or of the related Mills ratio have a long history starting with Gauss and Laplace and continuing nowadays. Below, we improve an important family of bounds provided recently by Dümbgen.

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Florin Avram. 2013-06-12. On Dümbgen's exponentially modified Laplace continued fraction for Mill's ratio. https://arxiv.org/abs/1306.2989

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