In the spirit of a refresher, we begin with an overview of the measure-theoretic framework for probability. Readers for whom this is entirely new material may wish to consult the appendices for statements and proofs of basic theorems from analysis.
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Keywords
- Probability Space
- Mathematical Expectation
- Borel Measurable Function
- Total Variation Distance
- Cantelli Lemma
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(2007). Random Maps, Distribution, and Mathematical Expectation. In: A Basic Course in Probability Theory. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-71939-9_1
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DOI: https://doi.org/10.1007/978-0-387-71939-9_1
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