ARGUS distribution

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A ARGUS distribution is a probability distribution ...



References

2016

[math]\displaystyle{ f(x; \chi, c ) = \frac{\chi^3}{\sqrt{2\pi}\,\Psi(\chi)} \cdot \frac{x}{c^2} \sqrt{1-\frac{x^2}{c^2}} \exp\bigg\{ -\frac12 \chi^2\Big(1-\frac{x^2}{c^2}\Big) \bigg\}, }[/math]
for 0 ≤ x < c. Here χ, and c are parameters of the distribution and
[math]\displaystyle{ \Psi(\chi) = \Phi(\chi)- \chi \phi( \chi ) - \tfrac{1}{2} , }[/math]
and Φ(·), ϕ(·) are the cumulative distribution and probability density functions of the standard normal distribution, respectively.