Two Events A B On The Probability Space 937 P Are Equivalent See Exercise 9 If Exerc 2008129

Two events A, B on the probability space {Ω, ß, P) are equivalent (see Exercise 9) if

Exercise 9

Background: Call two sets A1. A2  ß equivalent if P(A1.∆A2) = 0. For a set A  ß, define the equivalence class

In practice we drop #s; that is identify the equivalence classes with the members.

 

 

 

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