Commit 6bc21c87 authored by Martin Reinecke's avatar Martin Reinecke
Browse files

merge master

parents 37a6c3da c0bc65a3
......@@ -25,7 +25,6 @@ from ..operators.contraction_operator import ContractionOperator
from ..operators.distributors import PowerDistributor
from ..operators.harmonic_operators import HarmonicTransformOperator
from ..operators.simple_linear_operators import FieldAdapter
from ..sugar import exp
def CorrelatedField(s_space, amplitude_model):
......
......@@ -31,6 +31,27 @@ from ..sugar import makeOp
class InverseGammaModel(Operator):
def __init__(self, domain, alpha, q):
"""Model which transforms a Gaussian into an inverse gamma distribution.
The pdf of the inverse gamma distribution is defined as follows:
.. math::
\frac {\beta ^{\alpha }}{\Gamma (\alpha )}}x^{-\alpha -1}\exp \left(-{\frac {\beta }{x}}\right)
That means that for large x the pdf falls off like x^(-alpha -1).
The mean of the pdf is at q / (alpha - 1) if alpha > 1.
The mode is q / (alpha + 1).
Parameters
----------
domain : Domain, tuple of Domain or DomainTuple
The domain on which the field shall be defined. This is at the same
time the domain and the target of the operator.
alpha : float
The alpha-parameter of the inverse-gamma distribution.
q : float
The q-parameter of the inverse-gamma distribution.
"""
self._domain = self._target = DomainTuple.make(domain)
self._alpha = alpha
self._q = q
......
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