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stochastic modeling

Stochastic modeling is a mathematical approach used to represent systems or processes that involve randomness and uncertainty. Unlike deterministic models, which provide precise predictions, stochastic models incorporate variations and unpredictability. For example, predicting stock prices, weather patterns, or disease spread often relies on stochastic modeling, as these phenomena are influenced by numerous unpredictable factors. By using probabilities, these models help researchers and decision-makers estimate outcomes, assess risks, and make informed predictions, acknowledging that some level of uncertainty always exists in real-world scenarios.

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    Stochastic modeling is a mathematical approach used to predict outcomes in systems that are inherently random or uncertain. Unlike deterministic models, which give fixed results for given inputs, stochastic models incorporate randomness, acknowledging that things like weather, stock prices, or population growth can change unpredictably. By using probabilities and statistical methods, these models help us understand potential scenarios and make informed decisions despite uncertainty. They are widely applied in fields like finance, engineering, biology, and even social sciences, offering insights into complex systems where chance plays a significant role.