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Popular pages
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Table of Contents | The Book of Statistical Proofs
The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences
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About StatProofBook | The Book of Statistical Proofs
The Book of Statistical Proofs is a project within the “The Book of Statistical Proofs” is maintained by “StatProofBook.github.io” is generated with Unless otherwise noted, all content on this webs...
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Probability Distributions | The Book of Statistical Proofs
The Book of Statistical Proofs
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Probability | The Book of Statistical Proofs
Definition: Let $E$ be a statement about an arbitrary event such as the outcome of a random experiment. Then, $p(E)$ is called the probability of $E$ and may be interpreted as (objectivist interpretat...
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Simple linear regression | The Book of Statistical Proofs
Definition: Let $y$ and $x$ be two $n \times 1$ vectors. Then, a statement asserting a linear relationship between $x$ and $y$ \[\label{eq:slr-model} y = \beta_0 + \beta_1 x + \varepsilon \; ,\] to...
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Kolmogorov axioms of probability | The Book of Statistical Proofs
Definition: Let there be a sample space $\Omega$, an event space $\mathcal{E}$ and a probability measure $P$, such that $P(E)$ is the probability of some event $E \in \mathcal{E}$. Then, we introduce ...