I recently ran across a new probability distribution called the “Scaled Beta2” or “SBeta2” for short in .
For positive argument x and for positive parameters p, q, and b, its density is
This is a heavy-tailed distribution. For large x, the probability density is O(x–q-1), the same as a Student-t distribution with q degrees of freedom.
The authors in  point out several ways this distribution can be useful in application. It can approximate a number of commonly-used prior distributions while offering advantages in terms of robustness and analytical tractability.
 The Scaled Beta2 Distribution as a Robust Prior for Scales. María-Eglée Pérez, Luis Raúl Pericchi, Isabel Cristina Ramírez. Available here.