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| In the [[mathematics]] of [[probability]], a '''[[stochastic process]]''' is a random [[function (mathematics)|function]]. In practical applications, the domain over which the function is defined is a time interval (''[[time series]]'') or a region of space (''[[random field]]'').
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| Familiar examples of '''time series''' include [[stock market]] and exchange rate fluctuations, signals such as speech, audio and video; medical data such as a patient's [[EKG]], [[Electroencephalography|EEG]], blood pressure or temperature; and random movement such as [[Brownian motion]] or [[random walk]]s.
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| Examples of '''random fields''' include static images, random topographies (landscapes), or composition variations of an inhomogeneous material.
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| ==Stochastic processes topics==
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| :''This list is currently incomplete.'' See also [[:Category:Stochastic_processes]]
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| * [[Basic affine jump diffusion]] [[Talk:Basic affine jump diffusion| ]]
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| * [[Bernoulli process]]: [[Discrete-time stochastic process|discrete-time]] processes with two possible states.
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| ** [[Bernoulli scheme]]s: discrete-time processes with ''N'' possible states; every stationary process in ''N'' outcomes is a Bernoulli scheme, and vice-versa.
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| * [[Birth-death process]] [[Talk:Birth-death process| ]]
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| * [[Branching process]] [[Talk:Branching process| ]]
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| * [[Branching random walk]] [[Talk:Branching random walk| ]]
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| * [[Brownian bridge]] [[Talk:Brownian bridge| ]]
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| * [[Brownian motion]] [[Talk:Brownian motion| ]]
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| * [[Chinese restaurant process]] [[Talk:Chinese restaurant process| ]]
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| * [[CIR process ]] [[Talk:CIR process| ]]
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| * [[Cointelation ]]
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| * [[Continuous stochastic process]] [[Talk:Continuous stochastic process| ]]
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| * [[Cox process]] [[Talk:Cox process| ]]
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| *[[Dirichlet process]]es
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| * [[Finite-dimensional distribution]] [[Talk:Finite-dimensional distribution| ]]
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| * [[Galton–Watson process]] [[Talk:Galton–Watson process| ]]
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| * [[Gamma process]] [[Talk:Gamma process| ]]
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| * [[Gaussian process]] [[Talk:Gaussian process| ]] – a process where all linear combinations of coordinates are [[normal distribution|normally distributed]] random variables.
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| ** [[Gauss–Markov process]] [[Talk:Gauss–Markov process| ]] (cf. below)
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| *[[Girsanov's theorem]] [[Talk:Girsanov's theorem| ]]
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| *[[Homogeneous process]]es: processes where the domain has some [[symmetry]] and the finite-dimensional probability distributions also have that symmetry. Special cases include [[stationary process]]es, also called time-homogeneous.
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| * [[Karhunen–Loève theorem]]
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| * [[Lévy process]] [[Talk:Lévy process| ]]
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| * [[Local time (mathematics)]] [[Talk:Local time (mathematics)| ]]
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| * [[Loop-erased random walk]] [[Talk:Loop-erased random walk| ]]
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| * [[Markov process]]es are those in which the future is conditionally independent of the past given the present.
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| ** [[Markov chain]] [[Talk:Markov chain| ]]
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| ** [[Continuous-time Markov process]] [[Talk:Continuous-time Markov process| ]]
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| ** [[Markov process]] [[Talk:Markov process| ]]
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| ** [[Semi-Markov process]] [[Talk:Semi-Markov process| ]]
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| ** [[Gauss–Markov process]]es: processes that are both Gaussian and Markov
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| *[[Martingale (probability theory)|Martingale]]s – processes with constraints on the expectation
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| * [[Onsager–Machlup function]] [[Talk:Onsager–Machlup function| ]]
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| * [[Ornstein–Uhlenbeck process]] [[Talk:Ornstein–Uhlenbeck process| ]]
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| * Percolation theory
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| *[[Point process]]es: random arrangements of points in a space <math>S</math>. They can be modelled as stochastic processes where the domain is a sufficiently large family of subsets of ''S'', ordered by inclusion; the range is the set of natural numbers; and, if ''A'' is a subset of ''B'', ''ƒ''(''A'') ≤ ''ƒ''(''B'') with probability 1.
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| * [[Poisson process]] [[Talk:Poisson process| ]]
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| ** [[Compound Poisson process]] [[Talk:Compound Poisson process| ]]
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| * [[Population process]] [[Talk:Population process| ]]
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| * [[Stochastic cellular automaton|Probabilistic cellular automaton]] [[talk:Stochastic cellular automaton| ]]
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| * [[Queueing theory]] [[Talk:Queueing theory| ]]
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| ** [[Queue (data structure)|Queue]] [[Talk:Queue (data structure)| ]]
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| * [[Random field]] [[Talk:Random field| ]]
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| ** [[Gaussian random field]] [[Talk:Gaussian random field| ]]
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| ** [[Markov random field]] [[Talk:Markov random field| ]]
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| * [[Sample-continuous process]] [[Talk:Sample-continuous process| ]]
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| * [[Stationary process]] [[Talk:Stationary process| ]]
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| * [[Stochastic calculus]] [[Talk:Stochastic calculus| ]]
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| ** [[Itō calculus]] [[Talk:Itō calculus| ]]
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| ** [[Malliavin calculus]] [[Talk:Malliavin calculus| ]]
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| ** [[Semimartingale]] [[Talk:Semimartingale| ]]
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| ** [[Stratonovich integral]] [[Talk:Stratonovich integral| ]]
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| * [[Stochastic differential equation]] [[Talk:Stochastic differential equation| ]]
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| * [[Stochastic process]] [[Talk:Stochastic process| ]]
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| * [[Telegraph process]] [[Talk:Telegraph process| ]]
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| * [[Time series]] [[Talk:Time series| ]]
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| * [[Wald's martingale]] [[Talk:Wald's martingale| ]]
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| * [[Wiener process]] [[Talk:Wiener process| ]]
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| [[Category:Mathematics-related lists|Stochastic processes topics]]
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| [[Category:Stochastic processes]]
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| [[Category:Statistics-related lists]]
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I am 37 years old and my name is Dorris Willison. I life in Mindelheim (Germany).
My website: how to get free fifa 15 coins