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stochastic method

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  • Stochastic processes and boundary value problems — In mathematics, some boundary value problems can be solved using the methods of stochastic analysis. Perhaps the most celebrated example is Shizuo Kakutani s 1944 solution of the Dirichlet problem for the Laplace operator using Brownian motion.… …   Wikipedia

  • Stochastic optimization — (SO) methods are optimization algorithms which incorporate probabilistic (random) elements, either in the problem data (the objective function, the constraints, etc.), or in the algorithm itself (through random parameter values, random choices,… …   Wikipedia

  • Stochastic simulation — algorithms and methods were initially developed to analyse chemical reactions involving large numbers of species with complex reaction kinetics [cite journal |last=Bradley |first=Jeremy |authorlink=Jeremy Bradley |coauthors=Stephen Gilmore… …   Wikipedia

  • Stochastic volatility — models are used in the field of quantitative finance to evaluate derivative securities, such as options. The name derives from the models treatment of the underlying security s volatility as a random process, governed by state variables such as… …   Wikipedia

  • Stochastic tunneling — (STUN) is an approach to global optimization based on the Monte Carlo method sampling of the function to be minimized. Idea Monte Carlo method based optimization techniques sample the objective function by randomly hopping from the current… …   Wikipedia

  • Stochastic approximation — methods are a family of iterative stochastic optimization algorithms that attempt to find zeroes or extrema of functions which cannot be computed directly, but only estimated via noisy observations. The first, and prototypical, algorithms of this …   Wikipedia

  • Stochastic Frontier Analysis — is a method of economic modeling. It has its starting point in the stochastic production frontier models simultaneously introduced by Aigner, Lovell and Schmidt (1977) and Meeusen and Van den Broeck (1977).The production frontier model without… …   Wikipedia

  • Stochastic hill climbing — is a variant of the basic hill climbing method. While basic hill climbing always chooses the steepest uphill move, stochastic hill climbing chooses at random from among the uphill moves. The probability of selection may vary with the steepness of …   Wikipedia

  • Stochastic differential equation — A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, thus resulting in a solution which is itself a stochastic process. SDE are used to model diverse phenomena such as… …   Wikipedia

  • Stochastic modelling (insurance) — This page is concerned with the stochastic modelling as applied to the insurance industry. For other stochastic modelling applications, please see Monte Carlo method. For mathematical definition, please see Stochastic process.tochastic model… …   Wikipedia

  • Stochastic process — A stochastic process, or sometimes random process, is the counterpart to a deterministic process (or deterministic system) in probability theory. Instead of dealing with only one possible reality of how the process might evolve under time (as is… …   Wikipedia

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