Has the continuous distribution with the following probability density function in $(0,1)$ a name?
$f(x;\alpha,\beta)=\frac{1}{\alpha^\beta\Gamma(\beta)}(-\log x)^{\beta-1}x^{\frac{1-\alpha}{\alpha}}$
with $\alpha,\beta>0$
Has the continuous distribution with the following probability density function in $(0,1)$ a name?
$f(x;\alpha,\beta)=\frac{1}{\alpha^\beta\Gamma(\beta)}(-\log x)^{\beta-1}x^{\frac{1-\alpha}{\alpha}}$
with $\alpha,\beta>0$
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