= Equal-tailed credible interval
{title2=$[F^{-1}(\alpha/2),F^{-1}(1-\alpha/2)]$}
= Central credible interval
{synonym}
An <equal-tailed credible interval> uses <quantiles> of a continuous <posterior distribution> to leave <posterior probability> $\alpha/2$ in each tail. It is also called a <central credible interval>; central refers to equal tail probabilities, not equal distances from the <posterior mean>. For the <beta distribution> $\operatorname{Beta}(10,4)$ in <credible interval>, the 95% endpoints are approximately $0.461868461$ and $0.909079605$, whose midpoint $0.685474033$ differs from the <posterior mean> $5/7$.
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