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  2. Stochastic simulation - Wikipedia

    en.wikipedia.org/wiki/Stochastic_simulation

    A stochastic simulation is a simulation of a system that has variables that can change stochastically (randomly) with individual probabilities. [ 1 ] Realizations of these random variables are generated and inserted into a model of the system.

  3. Stochastic process - Wikipedia

    en.wikipedia.org/wiki/Stochastic_process

    The birth-death process, [322] a simple stochastic model, describes how populations fluctuate over time due to random births and deaths. These models are particularly important when dealing with small populations, where random events can have large impacts, such as in the case of endangered species or small microbial populations.

  4. Stochastic - Wikipedia

    en.wikipedia.org/wiki/Stochastic

    In mathematics, the theory of stochastic processes is an important contribution to probability theory, [29] and continues to be an active topic of research for both theory and applications. [30] [31] [32] The word stochastic is used to describe other terms and objects in mathematics.

  5. Stochastic differential equation - Wikipedia

    en.wikipedia.org/wiki/Stochastic_differential...

    Stochastic differential equations originated in the theory of Brownian motion, in the work of Albert Einstein and Marian Smoluchowski in 1905, although Louis Bachelier was the first person credited with modeling Brownian motion in 1900, giving a very early example of a stochastic differential equation now known as Bachelier model.

  6. Stochastic calculus - Wikipedia

    en.wikipedia.org/wiki/Stochastic_calculus

    The best-known stochastic process to which stochastic calculus is applied is the Wiener process (named in honor of Norbert Wiener), which is used for modeling Brownian motion as described by Louis Bachelier in 1900 and by Albert Einstein in 1905 and other physical diffusion processes in space of

  7. Stochastic programming - Wikipedia

    en.wikipedia.org/wiki/Stochastic_programming

    In the field of mathematical optimization, stochastic programming is a framework for modeling optimization problems that involve uncertainty. A stochastic program is an optimization problem in which some or all problem parameters are uncertain, but follow known probability distributions .

  8. Stochastic optimization - Wikipedia

    en.wikipedia.org/wiki/Stochastic_optimization

    Stochastic optimization (SO) are optimization methods that generate and use random variables. For stochastic optimization problems, the objective functions or constraints are random. Stochastic optimization also include methods with random iterates .

  9. Stochastic modelling (insurance) - Wikipedia

    en.wikipedia.org/wiki/Stochastic_modelling...

    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.

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