A stochastic process is a random function; or more precisely, an indexed family of random variables.

"**stochastic** **adjective** randomly determined; having a random probability distribution or pattern that may be analysed statistically but may not be predicted precisely."

The New Oxford Dictionay of English, 1998

"**stochastic process,** *n*. a process that can be described by a RANDOM VARIABLE (*stochastic variable*) that depends on some parameter, which may be discrete or continuous, but is often taken to represent time; precisely, an indexed family of random variables, called *states*, on a probability space. A stochastic process is *finite* if the index familiy is countable and each state is a step function. A MARKOV CHAIN is a discrete-parameter stochastic process in which future probabilities are completely determined by the present state."

Borowski and Borwein, 1989

"In the mathematics of probability, a **stochastic process** is a function. In the most common applications, the domain over which the function is defined is a time interval (a stochastic process of this kind is called a time series in applications) or a region of space (a stochastic process being called a random field)."

Wikipedia (2006)

- Category:Stochastic processes - Wikipedia
- Stochastic process - Wikipedia
- "stochastic process" OR "stochastic processes" - Google Scholar

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