Rademacher distribution

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.$$

The Rademacher distribution has been used in bootstrapping.

Related distributions

 * Bernoulli distribution: If X has a Rademacher distribution then $$\frac{X+1}{2}$$ has a Bernoulli(1/2) distribution.

Variabile casuale di Rademacher Rademacher dağılımı