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Stochastic drift information


In probability theory, stochastic drift is the change of the average value of a stochastic (random) process. A related concept is the drift rate, which is the rate at which the average changes. For example, a process that counts the number of heads in a series of fair coin tosses has a drift rate of 1/2 per toss. This is in contrast to the random fluctuations about this average value. The stochastic mean of that coin-toss process is 1/2 and the drift rate of the stochastic mean is 0, assuming 1 = heads and 0 = tails.

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Stochastic drift

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probability theory, stochastic drift is the change of the average value of a stochastic (random) process. A related concept is the drift rate, which is the...

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Stochastic process

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In probability theory and related fields, a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a sequence of random...

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List of statistics articles

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Stochastic Stochastic approximation Stochastic calculus Stochastic convergence Stochastic differential equation Stochastic dominance Stochastic drift...

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Stochastic differential equation

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A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution...

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Genetic drift

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Genetic drift, also known as random genetic drift, allelic drift or the Wright effect, is the change in the frequency of an existing gene variant (allele)...

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Drift

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material of glacial origin drift (in mining), a roughly horizontal passage; an adit Drift, linear term of a stochastic process Drift (motorsport), the controlled...

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Geometric Brownian motion

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continuous-time stochastic process in which the logarithm of the randomly varying quantity follows a Brownian motion (also called a Wiener process) with drift. It...

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Decomposition of time series

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Hilbert–Huang transform Least squares Least-squares spectral analysis Stochastic drift Trend filtering "6.1 Time series components | OTexts". www.otexts.org...

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Wiener process

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In mathematics, the Wiener process is a real-valued continuous-time stochastic process named in honor of American mathematician Norbert Wiener for his...

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Observational error

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instrument. The random or stochastic error in a measurement is the error that is random from one measurement to the next. Stochastic errors tend to be normally...

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Stochastic volatility jump

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In mathematical finance, the stochastic volatility jump (SVJ) model is suggested by Bates. This model fits the observed implied volatility surface well...

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Stochastic volatility

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In statistics, stochastic volatility models are those in which the variance of a stochastic process is itself randomly distributed. They are used in the...

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Minimum viable population

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will depend on the population projection model used. A set of random (stochastic) projections might be used to estimate the initial population size needed...

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Drift plus penalty

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mathematical theory of probability, the drift-plus-penalty method is used for optimization of queueing networks and other stochastic systems. The technique is for...

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Lyapunov optimization

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Lyapunov drift and minimizing the sum leads to the drift-plus-penalty algorithm for joint network stability and penalty minimization. The drift-plus-penalty...

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Stochastic logarithm

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In stochastic calculus, stochastic logarithm of a semimartingale Y {\displaystyle Y} such that Y ≠ 0 {\displaystyle Y\neq 0} and Y − ≠ 0 {\displaystyle...

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Heston model

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describes the evolution of the volatility of an underlying asset. It is a stochastic volatility model: such a model assumes that the volatility of the asset...

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Girsanov theorem

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In probability theory, the Girsanov theorem tells how stochastic processes change under changes in measure. The theorem is especially important in the...

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Doob decomposition theorem

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decomposition of every adapted and integrable stochastic process as the sum of a martingale and a predictable process (or "drift") starting at zero. The theorem was...

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Vasicek model

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can be also seen as a stochastic investment model. The model specifies that the instantaneous interest rate follows the stochastic differential equation:...

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Stochastic quantum mechanics

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Stochastic mechanics is a framework for describing the dynamics of particles that are subjected to an intrinsic random processes as well as various external...

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Bessel process

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mathematics, a Bessel process, named after Friedrich Bessel, is a type of stochastic process. The Bessel process of order n is the real-valued process X given...

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Genetic hitchhiking

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genetic hitchhiking and background selection are stochastic (random) evolutionary forces, like genetic drift. The term hitchhiking was coined in 1974 by Maynard...

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