stationary stochastic process

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Related to stationary stochastic process: nonstationary
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Noun1.stationary stochastic process - a stochastic process in which the distribution of the random variables is the same for any value of the variable parameter
stochastic process - a statistical process involving a number of random variables depending on a variable parameter (which is usually time)
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Let X = {X([theta]) : [theta] [member of] [0, 2[pi])} be a 2[pi] periodic stationary stochastic process on [0, 2[pi]), given by
We can express the relationship between the autocorrelation function Kx([tau]) of stationary stochastic process and its power spectral density Sx([omega]) (Levin, 1960) based on the Wiener-Khinchin relations.
Recorded solar irradiance under a cloud formation cumulus humilis is a pure stationary stochastic process as it is or after elimination of the trend due to the changing altitude of the sun.