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Annales de l’institut Fourier
Article . 1975 . Peer-reviewed
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Annales de l’institut Fourier
Article
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Article . 1975
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https://dx.doi.org/10.5802/aif...
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Stochastic process measurability conditions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1975 English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 25, pages 163-176 (eissn: 1777-5310, Copyright policy )
Authors: Doob, Joseph L.;

doi: 10.5802/aif.577

Stochastic process measurability conditions

Abstract

If the separability of the separable process definition is replaced by a set of optional (predictable) times, a new property is obtained, optional (predictable) separability. A well measurable (accessible) process is necessarily optionally (predictably) separable. Proofs of limit properties of a separable process become proofs of the same limit properties of a well measurable (predictable) process.

Keywords

Foundations of stochastic processes

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Average
Top 10%
Average
gold