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Bounded Estimators for Flux at a Point in Monte Carlo

H. Steinberg, Malvin H. Kalos

Open publisher page 22 citations

Abstract

Methods are given for obtaining bounded estimators for radiation flux at a point detector in a Monte Carlo calculation. In essence, the procedure is to so bias the collision density in the neighborhood of the detector that the usually singular last-flight estimator gives bounded results. The change with respect to usual Monte Carlo procedures is “local” in that only collisions within a fixed neighborhood of the detector are affected. A reselection procedure is used to implement the local requirement.

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What this paper is about

Methods are given for obtaining bounded estimators for radiation flux at a point detector in a Monte Carlo calculation. In essence, the procedure is to so bias the collision density in the neighborhood of the detector that the usually singular last-flight estimator gives bounded results. The change with respect to usual Monte Carlo procedures is “local” in that only collisions within a fixed neighborhood of the detector are affected. A reselection procedure is used to implement the local requirement.

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OpenAlex reports 22 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Methods are given for obtaining bounded estimators for radiation flux at a point detector in a Monte Carlo calculation. In essence, the procedure is to so bias the collision density in the neighborhood of the detector that the usually singular last-flight estimator gives bounded results. The change with respect to usual Monte Carlo procedures is “local” in that only collisions within a fixed neighborhood of the detector are affected. A reselection procedure is used to implement the local requirement.

Key concepts: Monte Carlo method, Estimator, Bounded function, Detector, Statistical physics, Physics, Monte Carlo method in statistical physics, Flux (metallurgy)

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