Bayesian Statistics: An Introduction, 4th Edition

8.7 Exercises on Chapter 8

1. Show that the prior suggested in connection with the example on risk of tumour in a group of rats is equivalent to a density uniform in .

2. Observations x1, x2, … , xn are independently distributed given parameters , , … , according to the Poisson distribution . The prior distribution for is constructed hierarchically. First, the s are assumed to be independently identically distributed given a hyperparameter according to the exponential distribution for and ...