approximation for the error function which is not directly related to those given previously. This new approximation has at least three advantages: it is more ...
01.12.2014 · Looking at the graph of the inverse error function we observe that it is highly non-linear and is therefore difficult to approximate with a polynomial.
In a recent installment [1], we discussed and compared some useful approximations to the so-called “error functions” re- lated to the Gaussian random variable, ...
Finite Series Approximation ... While the inverse error function is defined by an infinite series expansion, the obvious question becomes how many terms does one ...
The inverse error function erfinv is a standard component of mathemat- ical libraries, and particularly useful in statistical applications for convert-.
Read Paper A handy approximation for the error function and its inverse Sergei Winitzki February 6, 2008 The error function x 2 Z 2 erf x ≡ √ e−x dx (1) …
This function is suitable because it is similar to erf (xi). Furthermore, the inverse can easily be determined: >. inverse:= (1/a)*arctanh (xi); (2.2) Note that the Area Tangent, artanh (...), is indicated as arctanh (...) in MAPLE. The best approximation by the hyperbolic tangent is guaranteed by an optimal parameter a which minimizes the L ...
[5] lists 3D rational approximations, and [6] contains 7S rational minimax approximations to inverf x and inverfc x. The most accurate set of approximations is ...