In probability theory and statistics, the Rademacher distribution (named after Hans Rademacher) is a discrete probability distribution which has a 50% chance for either 1 or -1. The probability mass function of this distribution is

$f(k) = left{begin{matrix} 1/2 & mbox {if }k=-1, \ 1/2 & mbox {if }k=+1, \ 0 & mbox {otherwise.}end{matrix}right.$

It can be also written, in terms of the Dirac delta function, as

$f(k) = frac{1}{2} left( delta left( k - 1 right) + delta left( k + 1 right) right).$

The Rademacher distribution has been used in bootstrapping.

... Bernoulli distribution If X has a Rademacher distribution then has a Bernoulli(1/2) distribution ... Probability distributions Discrete univariate with finite support Benford Bernoulli Beta-binomial binomial categorical hypergeometric Poisson binomial Rademacher ...

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