`scipy.stats._continuous_distns:crystalball_gen`

source: /scipy/stats/_continuous_distns.py:11703

Signature

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

Members

_argcheck
_cdf
_fitstart
_logpdf
_munp
_ppf
_sf
_shape_info

Summary

Crystalball distribution.

Extended Summary

%(before_notes)s

Notes

The probability density function for crystalball is:

f (x, β, m) = {N exp (- x^{2} /2), N A (B - x)^{- m} for x > - β for x \leq - β

where $A = (m /∣ β ∣)^{m} exp (- β^{2} /2)$ , $B = m /∣ β ∣ - ∣ β ∣$ and $N$ is a normalisation constant.

crystalball takes $β > 0$ and $m > 1$ as shape parameters. $β$ defines the point where the pdf changes from a power-law to a Gaussian distribution. $m$ is the power of the power-law tail.

%(after_notes)s

Aliases

scipy.stats._continuous_distns.crystalball_gen