RareEventProbabilityEstimationContextGetLikelihoodRatio Method |
Namespace: Novacta.Analytics.Advanced
protected abstract double GetLikelihoodRatio( DoubleMatrix samplePoint, DoubleMatrix nominalParameter, DoubleMatrix referenceParameter )
A Cross-Entropy estimator is designed to evaluate the probability
of rare events regarding the performance of complex systems.
It is assumed that such probability must be evaluated
with respect to a specific density function, member of a parametric
family
where is a vector representing
a possible state of the system,
and is the set of allowable
values for parameter .
Let be the specific
parameter value under which the probability must be evaluated.
This is referred to as the nominal parameter.
Method GetLikelihoodRatio
is intended to return the value
i.e., the likelihood ratio of
to
evaluated at
state , where
is the nominalParameter while
is the referenceParameter.