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stochastic process
Sign in to saveAlso known as random process, stochastic processes
mathematical object usually defined as a collection of random variables
Research
49,276 papers- Stochastic process is main factor to affect plateau river fish community assembly.Environmental research · 2024
- Nature, nurture, or chance: stochastic gene expression and its consequences.Cell · 2008
- Stochastic process and tutorial of the African buffalo optimization.Scientific reports · 2022
- De novo hematopoietic (stem) cell generation - A differentiation or stochastic process?Current opinion in cell biology · 2023
- Excitotoxicity as a stochastic process.Clinical and experimental pharmacology & physiology · 1995
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- mathoverflow.net/tags/stochastic-processes
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- Stochastic processes
- ACM Classification Code (2012)
- 10003700
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Article
A computer-simulated realization of a Wiener or Brownian motion process on the surface of a sphere. The Wiener process is widely considered the most studied and central stochastic process in probability theory.
In probability theory and related fields a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random variables in a probability space, where the index of the family often has the interpretation of time. Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. Examples include the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule. Stochastic processes have applications in many disciplines such as biology, chemistry, ecology, neuroscience, physics, image processing, signal processing, control theory, information theory, computer science, and telecommunications. Furthermore, seemingly random changes in financial markets have motivated the extensive use of stochastic processes in finance.