Applet Exercise In Exercise 16.10, we found the posterior density for based on a sample
Chapter 16, Problem 16.18(choose chapter or problem)
Applet Exercise In Exercise 16.10, we found the posterior density for based on a sample of size n from an exponentially distributed population with mean 1/. Specifically, using the gamma density with parameters and as the prior for , we found that the posterior density for |(y1, y2,..., yn ) is a gamma density with parameters = n + and = / yi + 1 . Assuming that a sample of size n = 15 produced a sample such that yi = 30.27 and that the parameters of the gamma prior are = 2.3 and = 0.4, use the applet Gamma Probabilities and Quantiles to find 80% credible intervals for and 1/, the mean of the exponential population.
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