`scipy.stats._continuous_distns:pearson3_gen`

Signature

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

A pearson type III continuous random variable.

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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.

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