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- Stochastic_process abstract "In probability theory, a stochastic process /stoʊˈkæstɪk/, or sometimes random process (widely used) is a collection of random values; this is often used to represent the evolution of some random variable, or system, over time. This is the probabilistic counterpart to a deterministic process (or deterministic system). Instead of describing a process which can only evolve in one way (as in the case, for example, of solutions of an ordinary differential equation), in a stochastic or random process there is some indeterminacy: even if the initial condition (or starting point) is known, there are several (often infinitely many) directions in which the process may evolve.In the simple case of discrete time, as opposed to continuous time, a stochastic process involves a sequence of random variables and the time series associated with these random variables (for example, see Markov chain, also known as discrete-time Markov chain). Another basic type of a stochastic process is a random field, whose domain is a region of space, in other words, a random function whose arguments are drawn from a range of continuously changing values. One approach to stochastic processes treats them as functions of one or several deterministic arguments (inputs, in most cases regarded as time) whose values (outputs) are random variables: non-deterministic (single) quantities which have certain probability distributions. Random variables corresponding to various times (or points, in the case of random fields) may be completely different. The main requirement is that these different random quantities all have the same type. Type refers to the codomain of the function. Although the random values of a stochastic process at different times may be independent random variables, in most commonly considered situations they exhibit complicated statistical correlations.Familiar examples of processes modeled as stochastic time series include stock market and exchange rate fluctuations, signals such as speech, audio and video, medical data such as a patient's EKG, EEG, blood pressure or temperature, and random movement such as Brownian motion or random walks. Examples of random fields include static images, random terrain (landscapes), wind waves or composition variations of a heterogeneous material.".
- Stochastic_process thumbnail IE_Real_SandP_Prices,_Earnings,_and_Dividends_1871-2006.png?width=300.
- Stochastic_process wikiPageExternalLink Content.asp?PageID=455.
- Stochastic_process wikiPageExternalLink www.ifa.com.
- Stochastic_process wikiPageExternalLink randomprocesses.html.
- Stochastic_process wikiPageExternalLink popular-stochastic-processes-in-finance.
- Stochastic_process wikiPageExternalLink 5cfvVZ4Kd.
- Stochastic_process wikiPageExternalLink watch?v=AUSKTk9ENzg.
- Stochastic_process wikiPageID "47895".
- Stochastic_process wikiPageRevisionID "606394489".
- Stochastic_process hasPhotoCollection Stochastic_process.
- Stochastic_process subject Category:Statistical_data_types.
- Stochastic_process subject Category:Statistical_models.
- Stochastic_process subject Category:Stochastic_processes.
- Stochastic_process subject Category:Telecommunication_theory.
- Stochastic_process comment "In probability theory, a stochastic process /stoʊˈkæstɪk/, or sometimes random process (widely used) is a collection of random values; this is often used to represent the evolution of some random variable, or system, over time. This is the probabilistic counterpart to a deterministic process (or deterministic system).".
- Stochastic_process label "Proces stochastyczny".
- Stochastic_process label "Proceso estocástico".
- Stochastic_process label "Processo estocástico".
- Stochastic_process label "Processo stocastico".
- Stochastic_process label "Processus stochastique".
- Stochastic_process label "Stochastic process".
- Stochastic_process label "Stochastisch proces".
- Stochastic_process label "Stochastischer Prozess".
- Stochastic_process label "Случайный процесс".
- Stochastic_process label "عملية تصادفية".
- Stochastic_process label "確率過程".
- Stochastic_process label "随机过程".
- Stochastic_process sameAs Náhodný_proces.
- Stochastic_process sameAs Stochastischer_Prozess.
- Stochastic_process sameAs Proceso_estocástico.
- Stochastic_process sameAs Prozesu_estokastiko.
- Stochastic_process sameAs Processus_stochastique.
- Stochastic_process sameAs Processo_stocastico.
- Stochastic_process sameAs 確率過程.
- Stochastic_process sameAs 확률_과정.
- Stochastic_process sameAs Stochastisch_proces.
- Stochastic_process sameAs Proces_stochastyczny.
- Stochastic_process sameAs Processo_estocástico.
- Stochastic_process sameAs m.0cvtw.
- Stochastic_process sameAs Q176737.
- Stochastic_process sameAs Q176737.
- Stochastic_process wasDerivedFrom Stochastic_process?oldid=606394489.
- Stochastic_process depiction IE_Real_SandP_Prices,_Earnings,_and_Dividends_1871-2006.png.
- Stochastic_process isPrimaryTopicOf Stochastic_process.
