[Probability Primer] {Measure theory}

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(PP 1.1) Measure theory: Why measure theory - The Banach-Tarski Paradox

 

 

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ball -> tear down to pieces -> rigid transformation (translation/rotation) -> two balls identical to the original one

 

 two ways to resolve the paradox

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(PP 1.2) Measure theory: Sigma-algebras

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proof of 3:

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(PP 1.3) Measure theory: Measures

 

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(PP 1.4) Measure theory: Examples of Measures

 

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father of modern probability theory

 

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three example of probability measure

 

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