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Does this distribution have a name:

$f(x) = yx^{y-1}$ for $0 < x<1$ and $y>0$?

It looks like an exponential distribution. Or is it a nameless distribution?

  • 1
    **Aside**: When $y \in \mathbb N$, this is the density function of the maximum of a sample of size $y$ of iid $\mathcal U(0,1)$ random variables.2012-04-18
  • 5
    This is a beta distribution with $\beta=1$: http://en.wikipedia.org/wiki/Beta_distribution2012-04-18

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