3
$\begingroup$

For every positive integer $n$, $nx^{n-1}$ is a probability density function in $[0,1]$. What is it called?

$\endgroup$
2

1 Answer 1

4
$\begingroup$

The distribution with pdf

$$ f(x) = \frac{\beta x^{\beta-1}}{\alpha^\beta} $$

is known as the "power distribution" (unfortunately, it’s a very google-unfriendly name). It is alternatively parametrized by $k = 1/\alpha$. It has the $(0, \alpha]$ support.

$\endgroup$
1

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.