`scipy.stats._continuous_distns:argus_gen`

source: /scipy/stats/_continuous_distns.py :11803

Signature

   class     argus_gen (    momtype    =  1   ,    a    =  None   ,    b    =  None   ,    xtol    =  1e-14   ,    badvalue    =  None   ,    name    =  None   ,    longname    =  None   ,    shapes    =  None   ,    seed    =  None     )

Members

_cdf
_logpdf
_pdf
_rvs
_rvs_scalar
_sf
_shape_info
_stats

Summary

Argus distribution

Extended Summary

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Notes

The probability density function for argus is:

f (x, χ) = \frac{χ ^{3}}{2 π Ψ ( χ )} x 1 - x^{2} exp (- χ^{2} (1 - x^{2}) /2)

for $0 < x < 1$ and $χ > 0$ , where

Ψ (χ) = Φ (χ) - χ ϕ (χ) - 1/2

with $Φ$ and $ϕ$ being the CDF and PDF of a standard normal distribution, respectively.

argus takes $χ$ as shape a parameter. Details about sampling from the ARGUS distribution can be found in ^[2].

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Aliases

scipy.stats._continuous_distns.argus_gen