Classical Probability and the Principle of Indifference
Classical Probability and the Principle
of Indifference
Philosophy of Probability
April 22nd, 2013
Review
Review:
What is the informal interpretation of a ¡°sample space¡± ??
Review
Review:
What is the informal interpretation of a ¡°sample space¡± ??
What is an algebra? What is an event?
Review
Review:
What is the informal interpretation of a ¡°sample space¡± ??
What is an algebra? What is an event?
In Kolmogorov¡¯s axiomatization, what properties does a
probability measure satisfy?
Algebras
Define an algebra E to be a collection of subsets of ? satisfying
the following properties.
If A is a member of E, then so is its complement Ac .
If A and B are members of E, then so is their union A ¡È B.
The empty set ? = {} is a member of E.
The members of an algebra will be called events.
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