Daily tweets on probability from @JohnDCook.
Joined November 2009
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Jun 12
It takes about 1.5 log_2(d) riffle shuffles to shuffle a deck of d cards.
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Jun 11
Alan Turing's statistical work during World War II languagelog.ldc.upenn.edu/my… [pdf]
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Jun 11
The Dirichlet distribution is conjugate to the multinomial distribution.
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Jun 10
Probability of winning a best-of-N series as N increases johndcook.com/blog/2023/10/2…
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Jun 10
'This branch of mathematics [probability] is the only one, I believe, in which good writers frequently get results entirely erroneous.' -- Charles Sanders Peirce
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The Markov Chain Monte Carlo Revolution math.uchicago.edu/~shmuel/Ne…
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The Gumbel distribution and a couple famous constants johndcook.com/blog/2023/03/2…
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The second ace paradox futilitycloset.com/2012/10/1…
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'It is a part of probability that many improbable things will happen.' -- Agathon, quoted in Aristotle's Poetics
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Probabilities of earthquakes and hurricanes uh.edu/engines/epi2204.htm // rocks have memory but air does not
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A doubly stochastic matrix (i.e. non-negative entries, rows and columns sum to 1) is a convex combination of permutation matrices.
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Occupancy problem distribution johndcook.com/blog/2023/05/2…
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The so-called 'Mexican hat' wavelet is the second derivative of a Gaussian density.
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Bloom filters are an efficient way to test whether an element is probably in a set. There is some chance of a false positive, but no chance of a false negative.
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Ellsberg Paradox en.wikipedia.org/wiki/Ellsbe…
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Integration by Darts johndcook.com/blog/2015/04/0…
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