E. Epure

most citedSimply Explicitly Invertible Approximations to 4 Decimals of Error Function and Normal Cumulative Distribution Function

10 citations · 11 across the 2 of their papers we have counts for

collaborators

2 papers

math.ST2012★ 1 cited

Practical Explicitly Invertible Approximation to 4 Decimals of Normal Cumulative Distribution Function Modifying Winitzki's Approximation of erf

Alessandro Soranzo, Emanuela Epure

We give a new explicitly invertible approximation of the normal cumulative distribution function: $Φ (x) ≃ 1/2 + 1/2 1 - e^{- x^{2} \frac{17 + x ^{2}}{26.694 + 2 x ^{2}}}$ , $\foral…

stat.CO2012★ 10 cited

Simply Explicitly Invertible Approximations to 4 Decimals of Error Function and Normal Cumulative Distribution Function

A. Soranzo, E. Epure

We improve the Modified Winitzki's Approximation of the error function $er f (x) ≅ 1 - e^{- x^{2} \frac{\frac{4}{π} + 0.147 x ^{2}}{1 + 0.147 x ^{2}}}$ which has error $|\varepsilon (x)| < 1.2…