File:part1-fig-01-credible-regions.png

Figure file · Bayesian foundations

Two 95\% summaries of the same skewed \operatorname{Beta}(3,9) posterior. Equal tails force 2.5\% of the probability to each side. The minimum-width interval shifts toward the high-density part of the posterior; because this density is continuous and unimodal, it is also the HPD set and its two endpoints have equal density.

Two 95\% summaries of the same skewed \operatorname{Beta}(3,9) posterior. Equal tails force 2.5\% of the probability to each side. The minimum-width interval shifts toward the high-density part of the posterior; because this density is continuous and unimodal, it is also the HPD set and its two endpoints have equal density.

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Summary

Description. Two 95\% summaries of the same skewed \operatorname{Beta}(3,9) posterior. Equal tails force 2.5\% of the probability to each side. The minimum-width interval shifts toward the high-density part of the posterior; because this density is continuous and unimodal, it is also the HPD set and its two endpoints have equal density.

Appears in. Bayesian foundations

Made by. A figure from the course chapter.

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