Category:Probability Distributions
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This category contains results about Probability Distributions.
Definitions specific to this category can be found in Definitions/Probability Distributions.
Let $\tuple {\Omega, \Sigma, \Pr}$ be a probability space.
Let $X: \Omega \to \R$ be a random variable on $\tuple {\Omega, \Sigma, \Pr}$.
Then the probability distribution of $X$ is the pushforward $X_* \Pr$ of $\Pr$ on $\tuple {\R, \map \BB \R}$, where $\map \BB \R$ denotes the Borel $\sigma$-algebra on $\R$.
Subcategories
This category has the following 18 subcategories, out of 18 total.