Rademacher distribution

Probability distribution
name =Rademacher
type =mass
pdf_

cdf_

parameters =
support =$k=\{-1,1\},$
pdf =
cdf =
mean =$0,$
median =$0,$
mode =N/A
variance =$1,$
skewness =$0,$
kurtosis =$-2,$
entropy =$ln(2),$
mgf =$cosh(t),$
char =$cos(t),$

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

:

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.