Article | REF: TE5222 V1

Random Processes - Basis and applications

Author: Michel PRENAT

Publication date: December 10, 2020

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1. Random processes: definitions and properties

1.1 Probabilized spaces, random variables and processes

This section covers the basic definitions of probability, without further development or demonstration. Some notions are illustrated on finite sets, but can be generalized to infinite sets, whether countable or not.

Let be a set Ω on which we have defined a tribe (or σ-algebra) , i.e. a set of parts of...

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Random processes: definitions and properties