Suppose the support of a distribution is $\{12 , 13 \}$ with $P(X = 12) = p$ and $P(X = 13) = 1-p$. Is this still a Bernoulli distribution even if the support is not $\{1, 0 \}$?
Bernoulli Distribution with support different from $\{0,1\}$
1
$\begingroup$
probability-distributions
terminology
-
3As Bernoulli distribution is most often defined, no. Because it is such a close relative, results about Bernoulli distributions can be readily adapted to this one. – 2012-04-17