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"Stochastic" means being or having a random variable. A stochastic model is a tool for estimating probability distributions of potential outcomes by allowing for random variation in one or more inputs over time. The random variation is usually based on fluctuations observed in historical data for a selected period using standard time-series techniques. Distributions of potential outcomes are derived from a large number of simulations (stochastic projections) which reflect the random variation in the input(s).
Its application initially started in physics. It is now being applied in engineering, life sciences, social sciences, and finance.1
Maple is powerful math software that makes it easy to explore stochastic modeling, and to analyze, explore, visualize, and solve mathematical problems from virtually every branch of mathematics. Student pricing available.
1 Source: Wikipedia