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In probability theory, a continuous stochastic process is a type of stochastic process that may be said to be "continuous" as a function of its "time" or index parameter. Continuity is a nice property for (the sample paths of) a process to have, since it implies that they are well-behaved in some sense, and, therefore, much easier to analyze. It is…
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process continuity stochastic continuous sample probability index said time variable one event function given paths mean-square distribution xt may implies
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Continuous stochastic process | is a | type of stochastic process that may be said to be | 0.90 | text |
| Itō diffusions.Feller continuityX is said to be a Feller-continuous process if | instance of | Sample continuity is the appropriate notion of continuity for processes | 0.80 | text |
| for any fixed t | instance of | Sample continuity is the appropriate notion of continuity for processes | 0.80 | text |
| Itō diffusions | instance of | Sample continuity is the appropriate notion of continuity for processes | 0.80 | text |
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