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Itô: stochastic integral

Contribution grade

Probability · FORMALIZATION

Reference score340,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Defined integration against Brownian motion for random integrands and proved fundamental properties.

Scientific scope

The record is Itô's sole-author 1944 note, retaining the scope and notation of that work. It does not absorb his later stochastic differential-equation papers, the full modern Itô formula, Stratonovich integration or every semimartingale extension.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Itô's sole-author 1944 note, retaining the scope and notation of that work. It does not absorb his later stochastic differential-equation papers, the full modern Itô formula, Stratonovich integration or every semimartingale extension.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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