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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You can call it “uniform distribution on ${-1, 1}$”. – Yalikesifulei Sep 27 '21 at 11:44
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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.$ – user2661923 Sep 27 '21 at 11:52
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It is the Rademacher distribution.
user10354138
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1@Snoop not accepted, but with many upvotes surely this one: https://math.stackexchange.com/questions/74347/construct-a-function-which-is-continuous-in-1-5-but-not-differentiable-at-2/74383#74383 – Carmeister Sep 27 '21 at 20:00