Result estimators
The Monte Carlo transport simulation is run to obtain statistical estimates for integrals of the form:
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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:
- Analog estimates, based on recorded simulated physical events
- 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.
