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Is there a name for this distribution: $$P(X = 1) = P(X = -1) = 0.5?$$

I'm currently writing $2X-1$ where $X \sim \text{Ber}(0.5)$.

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  • $\begingroup$ You can call it “uniform distribution on $\{-1, 1\}$”. $\endgroup$ Sep 27, 2021 at 11:44
  • $\begingroup$ You can also refer to it as the sign of $x$, as in $\frac{x}{|x|} ~: ~a~$ is any positive constant, and $ ~-a \leq x \leq a, ~x\neq 0.$ $\endgroup$ Sep 27, 2021 at 11:52

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It is the Rademacher distribution.

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  • $\begingroup$ I am now curious to know what's the shortest accepted answer on Math SE $\endgroup$
    – Snoop
    Sep 27, 2021 at 12:02
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    $\begingroup$ @Snoop not accepted, but with many upvotes surely this one: math.stackexchange.com/questions/74347/… $\endgroup$
    – Carmeister
    Sep 27, 2021 at 20:00

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