When considering log-concave distributions within the range [0,1], if I utilize the beta distribution with parameters $\alpha, \beta \geq 1$, does this choice encompass all potential shapes generated by the log-concave distributions? Or are there shapes that would be overlooked by this assumption? Thanks
2026-03-27 07:50:30.1774597830
Is the beta distribution a good representative of the family of log-concave distributions?
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