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Sampling Methods

The Sampling Method determines how the statistical input distributions will be sampled and are configured through the Project Settings > Statistics tab.

To open the tab:

  1. Open the Project Settings dialog.
  2. Select the Statistics tab.

Two Sampling Methods are available in RocFall3 – Monte-Carlo or Latin-Hypercube sampling.

Monte-Carlo Method

The Monte-Carlo sampling technique uses random numbers to sample from the input data probability distributions. Monte-Carlo techniques are commonly applied to a wide variety of problems involving random behavior in geotechnical engineering.

Monte Carlo sampling of Normal distribution (1000 samples)

Monte Carlo sampling of Normal distribution (1000 samples)

Latin-Hypercube Method

The Latin-Hypercube sampling technique gives comparable results to the Monte-Carlo technique but with fewer samples. The method is based upon "stratified" sampling with random selection within each stratum. This results in a smoother sampling of the probability distributions. Typically, an analysis using 1000 samples obtained by the Latin-Hypercube technique will produce comparable results to an analysis of 5000 samples using the Monte-Carlo method.

Latin Hypercube sampling of Normal distribution (1000 samples)

Latin Hypercube sampling of Normal distribution (1000 samples)

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