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For estimating a lower bounded location or mean parameter for a symmetric andlogconcave density, we investigate the frequentist performance of the$100(1-\alpha)%$ Bayesian HPD credible set associated with priors which aretruncations of flat priors onto the restricted parameter space. Various newproperties are obtained. Namely, we identify precisely where the minimumcoverage is obtained and we show that this minimum coverage is bounded between$1-\frac{3\alpha}{2}$ and $1-\frac{3\alpha}{2}+\frac{\alpha^2}{1+\alpha}$; withthe lower bound $1-\frac{3\alpha}{2}$ improving (for $\alpha \leq 1/3$) on thepreviously established ([9]; [8]) lower bound $\frac{1-\alpha}{1+\alpha}$.Several illustrative examples are given.

On the frequentist coverage of Bayesian credible intervals for lower bounded means