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| | poissonisfish.com
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| | Someof the most fundamental functions in R, in my opinion, are those that deal with probability distributions. Whenever you compute a P-value you relyon a probability distribution, and there are many types out there. In this exercise I will cover four: Bernoulli, Binomial, Poisson, and Normal distributions. Let me begin with some theory first: Bernoulli...
| | cyclostationary.blog
2.4 parsecs away

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| | Our toolkit expands to include basic probability theory.
| | ivyfanchiang.ca
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| | [AI summary] The author provides a comprehensive mathematical derivation of the normal distribution using multi-variable calculus and the Herschel-Maxwell theorem.
| | statisticaloddsandends.wordpress.com
22.6 parsecs away

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| If $latex Z_1, \dots, Z_n$ are independent $latex \text{Cauchy}(0, 1)$ variables and $latex w= (w_1, \dots, w_n)$ is a random vector independent of the $latex Z_i$'s with $latex w_i \geq 0$ for all $latex i$ and $latex w_1 + \dots w_n = 0$, it is well-known that $latex \displaystyle\sum_{i=1}^n w_i Z_i$ also has a $latex...