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A New Approximation to the Normal Distribution Quantile Function

Computation 2010-02-03 v2 Numerical Analysis Statistics Theory Computational Finance Statistics Theory

Abstract

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 2.51052.5 \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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@article{arxiv.1002.0567,
  title  = {A New Approximation to the Normal Distribution Quantile Function},
  author = {Paul M. Voutier},
  journal= {arXiv preprint arXiv:1002.0567},
  year   = {2010}
}

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R2 v1 2026-06-21T14:42:35.023Z