`scipy.stats._continuous_distns:pearson3_gen`

source: /scipy/stats/_continuous_distns.py :8389

Signature

   class     pearson3_gen (    momtype    =  1   ,    a    =  None   ,    b    =  None   ,    xtol    =  1e-14   ,    badvalue    =  None   ,    name    =  None   ,    longname    =  None   ,    shapes    =  None   ,    seed    =  None     )

Members

_argcheck
_cdf
_logpdf
_pdf
_ppf
_preprocess
_rvs
_sf
_shape_info
_stats
fit

Summary

A pearson type III continuous random variable.

Extended Summary

%(before_notes)s

Notes

The probability density function for pearson3 is:

f (x, κ) = \frac{∣ β ∣}{Γ ( α )} (β (x - ζ))^{α - 1} exp (- β (x - ζ))

where:

β = \frac{2}{κ} α = β^{2} = \frac{4}{κ ^{2}} ζ = - \frac{α}{β} = - β

$Γ$ is the gamma function (scipy.special.gamma). Pass the skew $κ$ into pearson3 as the shape parameter skew.

%(after_notes)s

%(example)s

Aliases

scipy.stats._continuous_distns.pearson3_gen