# Bounding Standard Gaussian Tail Probabilities

@article{Dmbgen2010BoundingSG, title={Bounding Standard Gaussian Tail Probabilities}, author={L. D{\"u}mbgen}, journal={arXiv: Statistics Theory}, year={2010} }

We review various inequalities for Mills' ratio (1 - Φ)= O, where O and Φ denote
the standard Gaussian density and distribution function, respectively. Elementary
considerations involving finite continued fractions lead to a general approximation
scheme which implies and refines several known bounds.

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