Need clarification of definition in lead

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Currently the lead sentence says

In stochastic analysis, a part of the mathematical theory of probability, a predictable process is a stochastic process whose value is knowable at a prior time.

This needs to be clarified in language as non-technical as possible. How can a process whose value is knowable at a prior time be a stochastic process? Loraof (talk) 15:27, 5 June 2015 (UTC)Reply

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  • December 17, 2018: Probably one should delete the above external link; first of all the file is no longer in its original place and has to be dig out through the Wayback Machine, moreover it seems on the first page there is an incorrect statement ("H(t) is a predictable process if and only if H(t) is {\mathcal F}_{t−} measurable").

Is it even true that every deterministic process is predictable?

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Shouldn't it be left continuous or possess some weaker property? If it's not measurable, it wouldn't even be progressive, but predictability should imply progressiveness. 194.230.158.20 (talk) 02:58, 3 January 2023 (UTC)Reply