Continuous-time stochastic process: Difference between revisions

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In [[probability theory]] and [[statistics]], a '''continuous-time stochastic process''', or a '''continuous-space-time stochastic process''' is a [[stochastic process]] for which the index variable takes a continuous set of values, as contrasted with a [[discrete-time signal|discrete-time process]] for which the index variable takes only distictdistinct values. A more restricted class of processes are the [[continuous stochastic process]]es: here the term often (but not always<ref name=D>Dodge, Y. (2006) ''The Oxford Dictionary of Statistical Terms'', OUP. ISBN 0-19-920613-9 (Entry for "continuous process")</ref>) implies both that the index variable is continuous and that sample paths of the process are continuous. Given the possible confusion, caution is needed.<ref name=D/>
 
==Examples==
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==See also==
* [[Continuous signal]]
 
==References==