Idea for Ch 2: Simplest exercise ever
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PhilipLoewen commented
Figure 2.3 illustrates that if the prior is comparatively flat, the posterior resembles the likelihood quite closely. One could ask the students to describe, with reference to Bayes' Rule, the relationship between the scaled likelihood and the posterior in the case where the prior density is literally constant. [A: They will be identical.] If this is deemed too easy to qualify as an exercise, it might be worth mentioning in the body of the chapter.
(The formula near the end of 2.2.4 captures this fact for the "umbrella" example simply by taking a=1 and b=1, but the result remains correct for any general form of the likelihood function.)