Stochastic (random or probabilistic) is the property of having a random probability distribution or pattern that can be analyzed statistically. In the case of synthetic data generation, the original data has a probability distribution, so that all statistical (=non-deterministic) relationships between any number of attributes can be learned using stochastic modeling. Such modeling cannot ensure that deterministic business rules are maintained in every synthetic record. However, some other methods can be used to improve that, such as injection of experitice in modeling or rejection sampling during post-processing.
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