probability - Why is the error function defined as it is? - Mathematics ...
More recent Internet mentions of the use of $\mathrm {erf}$ or $\mathrm {erfc}$ for solving differential equations include short-circuit power dissipation in electrical engineering, current as a function of …
How are the Error Function and Standard Normal distribution function ...
Well, there's a definition of erf and a definition of the Normal CDF.. The relations, derivable by some routine calculations, are shown as to how to convert between them, and how to convert between …
Approximating the error function erf by analytical functions
Aug 15, 2016 · My question is if I can find, or if there are known, substitutions for this non-elementary function in terms of elementary ones. In the sense above, i.e. the approximation is …
How to accurately calculate the error function $\\operatorname{erf}(x ...
The naïve (alternating) Maclaurin series is not really that numerically sound; I had already mentioned in my answer the modified series that has much better properties for computing $\mathrm {erf} (x)$ …
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About the forum The forum – is a new policy portal launched by the Economic Research Forum (ERF) in October 2017 to promote quality debates and ideas in the region which are evidence and research …
derivative of error function - Mathematics Stack Exchange
Apr 23, 2016 · How can I calculate the derivatives $$\\frac{\\partial \\mbox{erf}\\left(\\frac{\\ln(t)-\\mu}{\\sqrt{2}\\sigma}\\right)}{\\partial \\mu}$$ and $$\\frac{\\partial ...
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defining inverse error function - Mathematics Stack Exchange
Because $\forall x,\frac {2} {\sqrt\pi}e^ {-x^2}>0$ we know that $\operatorname {erf} (x)$ is strictly increasing, so it suppose to have an inverse function. I can ...