Stochastic process

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English

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Noun

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  1. Template:Lb A function that maps elements of an index set to elements of a collection of random variables; historically, a collection of random variables indexed by a set of numbers usually regarded as points in time.

Usage notes

  • A stochastic process is effectively a function of two variables: time (element of the index set) and event (point in the sample space implied by the set of random variables). Fixing the time yields a random variable. Fixing the event, on the other hand, yields a sample path.

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See also