What does stochastic process mean?
Definitions for stochastic process
sto·chas·tic process
This dictionary definitions page includes all the possible meanings, example usage and translations of the word stochastic process.
Princeton's WordNet
stochastic processnoun
a statistical process involving a number of random variables depending on a variable parameter (which is usually time)
Wiktionary
stochastic processnoun
a function of random variables
ChatGPT
stochastic process
A stochastic process is a mathematical model that describes a collection of random variables evolving over time or in various ways such as space, following certain probabilistic rules. These variables are often used to represent the evolution of some random or unpredictable phenomena, such as stock market fluctuations, noise signals, or temperature changes. Each random variable in the process has its probability distribution, and these variables may also have interdependencies.
Wikidata
Stochastic process
In probability theory, a stochastic process, or sometimes random process is a collection of random variables; this is often used to represent the evolution of some random value, or system, over time. This is the probabilistic counterpart to a deterministic process. Instead of describing a process which can only evolve in one way, in a stochastic or random process there is some indeterminacy: even if the initial condition is known, there are several directions in which the process may evolve. In the simple case of discrete time, a stochastic process amounts to a sequence of random variables known as a time series. 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 whose values are random variables: non-deterministic quantities which have certain probability distributions. Random variables corresponding to various times 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.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of stochastic process in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of stochastic process in Pythagorean Numerology is: 5
Translations for stochastic process
From our Multilingual Translation Dictionary
Get even more translations for stochastic process »
Translation
Find a translation for the stochastic process definition in other languages:
Select another language:
- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Citation
Use the citation below to add this definition to your bibliography:
Style:MLAChicagoAPA
"stochastic process." Definitions.net. STANDS4 LLC, 2024. Web. 8 Nov. 2024. <https://www.definitions.net/definition/stochastic+process>.
Discuss these stochastic process definitions with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In