An intermediate-precision approximation of the inverse cumulative normal distribution
- 1 January 1993
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Simulation and Computation
- Vol. 22 (3) , 797-801
- https://doi.org/10.1080/03610919308813125
Abstract
Accurate methods used to evaluate the inverse of the standard normal cumulative distribution function at probability ρ commonly used today are too cumbersome and/or slow to obtain a large number of evaluations reasonably quickly, e.g., as required in certain Monte Carlo applications. Previously reported simple approximations all have a maximum absolute error εm > 10-4 for a ρ-range of practical concern, such as Min[ρ,l−ρ]≥10−6. An 11-term polynomial-based approximationis presented for which εm > 10-6 in this range.Keywords
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