Probability Fact

Daily tweets on probability from @JohnDCook.

[Probability Fact @ProbFact]

Putting probability to work

https://t.co/yyp1rEw9hL

[Probability Fact @ProbFact]

Occupancy problem distribution https://t.co/a6qnuIL1d4

[Probability Fact @ProbFact]

The so-called 'Mexican hat' wavelet is the second derivative of a Gaussian density.

[Probability Fact @ProbFact]

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.

[Probability Fact @ProbFact]

Ellsberg Paradox https://t.co/T6xvfHs8XZ

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Integration by Darts https://t.co/LPuJcPIxyq

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'... what is in itself the more certain may seem to us the less certain on account of the weakness of our intelligence.' -- Thomas Aquinas

[Probability Fact @ProbFact]

If a polynomial identity holds at a randomly selected point in a large finite field, it holds in general with high probability.

https://t.co/6ByWSSmbU3

[Probability Fact @ProbFact]

Random Fibonacci sequence https://t.co/zHCB8kvjz9

[Probability Fact @ProbFact]

If X ~ chisq(m) and Y ~ chisq(n) are independent then X/(X+Y) ~ beta(m/2, n/2)

[Probability Fact @ProbFact]

A variation on Rock, Paper, Scissors https://t.co/30y9TiyxWo

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Laplace distribution as a mixture of normals https://t.co/PckZz0cyCH

[Probability Fact @ProbFact]

Turning K-L divergence into a metric

https://t.co/e3u9eNgdy5

[Probability Fact @ProbFact]

'All possible 'definitions' of probability fall short of the actual practice.' -- William Feller

[Probability Fact @ProbFact]

How likely is a random variable to be far from its center? https://t.co/4ElCTYMvvs

[Probability Fact @ProbFact]

variance <= (max - mean) (mean - min)

[Probability Fact @ProbFact]

The Landau distribution is stable, i.e. a linear combination of Landau rvs has a Landua distribution. https://t.co/3PUseS8sCM

[Probability Fact @ProbFact]

Probabilities of data loss and data unavailability with replication and erasure coding https://t.co/aYSY0iffJ1 [pdf]

[Probability Fact @ProbFact]

Generate random samples from a tetrahedron https://t.co/9LwXMkidmQ

[Probability Fact @ProbFact]

Self-similarity of Brownian motion: If W(t) is a Brownian path over [0, T], then W(c² T)/c is a Brownian path over [0, c² T].

[Probability Fact @ProbFact]

'Monte Carlo is an extremely bad method; it should only be used when all alternative methods are worse.' -- Alan Sokal