A closed-form approximation for the median of the beta distribution
Abstract
A simple closed-form approximation for the median of the beta distribution Beta(a, b) is introduced: (a-1/3)/(a+b-2/3) for (a,b) both larger than 1 has a relative error of less than 4%, rapidly decreasing to zero as both shape parameters increase.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2011
- DOI:
- 10.48550/arXiv.1111.0433
- arXiv:
- arXiv:1111.0433
- Bibcode:
- 2011arXiv1111.0433K
- Keywords:
-
- Mathematics - Statistics Theory;
- Statistics - Computation
- E-Print:
- 6 pages, 4 figures