Doob decomposition theorem: Nonlinear Function
Created: August 27, 2022
Modified: August 27, 2022

Doob decomposition theorem

This page is from my personal notes, and has not been specifically reviewed for public consumption. It might be incomplete, wrong, outdated, or stupid. Caveat lector.

Any reasonable'adapted' and 'integrable' stochastic process can be written as the sum of a martingale and a predictable process.