Probability reminders and complements
Stochastic Differential Equations
Article REF: AF105 V1
Probability reminders and complements
Stochastic Differential Equations

Author : Thierry CHONAVEL

Publication date: April 10, 2015, Review date: July 8, 2015 | Lire en français

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1. Probability reminders and complements

The basics of probability and the notion of a stochastic process are assumed. Recall, however, that a tribe (or σ-algebra) A on a set Ω is a set of parts of Ω containing Ω, the complementary of its elements and any finite or countable union of its elements. A probability P on the tribe A is a positive measure on A , with P (Ω) = 1. Random variables will be considered here on a probability space denoted

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