Daily tweets on probability from @JohnDCook.
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Carathéodory's extension theorem en.wikipedia.org/wiki/Carath…
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Reversible Markov chains and random walks on graphs stat.berkeley.edu/~aldous/RW…
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Discrete probability is conceptually easier than continuous probability because counting is easier than measure theory.
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Kolmogorov extension theorem en.wikipedia.org/wiki/Kolmog…
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The single big jump principle johndcook.com/blog/2011/08/0…
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There are only three possible asymptotic forms of extreme order statistics: en.wikipedia.org/wiki/Fisher…
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Cosine power approximation to Gaussian density johndcook.com/blog/2023/07/0…
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Burr distribution en.wikipedia.org/wiki/Burr_d…
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Cox's theorem deriving probability as an extension of logic en.wikipedia.org/wiki/Cox%27…
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If P(A | B) > P(A) then P(B | A) > P(B). If B makes A more likely then A makes B more likely.
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The entropy of a distribution with finite domain is maximized when all points have equal probability.
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