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Tagged with bounds-of-integration error-function
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Estimate of the ratio $\frac{1}{\sqrt{2\pi}}e^{-x^2/2}(1-\text{erf}(x))$ (for standard normal distribution)
Define the probability density and cumulative probability of the standard Gaussian:
$$
f(t) =\frac{1}{\sqrt{2\pi}} e^{-t^2/2}, \text{erf}(x) = \int_{-\infty}^x f(t) dt.
$$
How can I prove that the ...
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Remainder in Asymptotic Expansion of Erfc
According to Abramowitz and Stegun: Handbook of Mathematical Functions (7.1.23 and 7.1.24, http://people.math.sfu.ca/~cbm/aands/page_298.htm),
we have Asymptotic expansion of Erfc is given by
\begin{...