Difference between revisions of "Result estimators"

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(Created page with " The Monte Carlo transport simulation is run to obtain statistical estimates for integrals of the form: <math> F = \int_t\int_V\int_\dirvec\int_Ef\Variables\aflux\Variablest d...")
 
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The Monte Carlo transport simulation is run to obtain statistical estimates
 
The Monte Carlo transport simulation is run to obtain statistical estimates
 
for integrals of the form:
 
for integrals of the form:
 +
 
<math>
 
<math>
 
F = \int_t\int_V\int_\dirvec\int_Ef\Variables\aflux\Variablest dVd\dirvec dE dt
 
F = \int_t\int_V\int_\dirvec\int_Ef\Variables\aflux\Variablest dVd\dirvec dE dt
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The estimates can be divided into:
 
The estimates can be divided into:
\begin{itemize}
+
#Analog estimates, based on recorded simulated physical events
\item Analog estimates, based on recorded simulated physical events
+
#Implicit estimators, based the expected frequency of events
\item Implicit estimators, based the expected frequency of events
+
\end{itemize}
+
 
Implicit estimators are derived from analog estimators, with the purpose of
 
Implicit estimators are derived from analog estimators, with the purpose of
 
obtaining better statistics. Even though the estimators introduced in the
 
obtaining better statistics. Even though the estimators introduced in the

Revision as of 17:21, 19 November 2015

The Monte Carlo transport simulation is run to obtain statistical estimates for integrals of the form:

Failed to parse (unknown function "\dirvec"):


where $f$ is a response function that can be evaluated at an arbitrary position of the phase space, most typically a reaction cross section. These estimates are based on the collection of simulated events (collisions, track-lengths, surface crossings, etc.) that occur during the course of the simulated random walk.

The estimates can be divided into:

  1. Analog estimates, based on recorded simulated physical events
  2. Implicit estimators, based the expected frequency of events

Implicit estimators are derived from analog estimators, with the purpose of obtaining better statistics. Even though the estimators introduced in the following can be used for calculating flux integrals, it should be noted that flux itself plays no role in Monte Carlo transport simulation.


Analog estimators