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A New Approximation to the Normal Distribution Quantile Function
Paul M. Voutier · 2010-02-03 · via math.ST updates on arXiv.org

We present a new approximation to the normal distribution quantile function. It has a similar form to the approximation of Beasley and Springer [3], providing a maximum absolute error of less than $2.5 \cdot 10^{-5}$. This is less accurate than [3], but still sufficient for many applications. However it is faster than [3]. This is its primary benefit, which can be crucial to many applications, including in financial markets.

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