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terrytao.wordpress.com | ||
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almostsuremath.com
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| | | | | According to Kolmogorov's axioms, to define a probability space we start with a set ? and an event space consisting of a sigma-algebra F? on ?. A probability measure ? on this gives the probability space (?,?F?,??), on which we can define random variables as measurable maps from ? to the reals or other measurable... | |
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cyclostationary.blog
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| | | | | Our toolkit expands to include basic probability theory. | |
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www.randomservices.org
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| | | | | [AI summary] The text covers various topics in probability and statistics, including continuous distributions, empirical density functions, and data analysis. It discusses the uniform distribution, rejection sampling, and the construction of continuous distributions without probability density functions. The text also includes data analysis exercises involving empirical density functions for body weight, body length, and gender-specific body weight. | |
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thehighergeometer.wordpress.com
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| | | Here's a fun thing: if you want to generate a random finite $latex T_0$ space, instead select a random subset from $latex \mathbb{S}^n$, the $latex n$-fold power of the Sierpinski space $latex \mathbb{S}$, since every $latex T_0$ space embeds into some (arbitrary) product of copies of the Sierpinski space. (Recall that $latex \mathbb{S}$ has underlying... | ||
