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A simple improvement on Kerman's approximation to the median of the beta distribution
Kerman's approximation to the median of the Beta$(α,β)$ distribution is the ratio $g(α)/(g(α) + g(β))$ with $g(x) = x - 1/3$, using the first two terms of the asymptotic expansion of the median of the standard gamma distribution. We extend this elegant ratio form to the one-parameter family with $g(
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