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.

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.

Read more about Rademacher Distribution:  Related Distributions

Famous quotes containing the word distribution:

    My topic for Army reunions ... this summer: How to prepare for war in time of peace. Not by fortifications, by navies, or by standing armies. But by policies which will add to the happiness and the comfort of all our people and which will tend to the distribution of intelligence [and] wealth equally among all. Our strength is a contented and intelligent community.
    Rutherford Birchard Hayes (1822–1893)