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 
.
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 ...
, , … , 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 ...Get Bayesian Statistics: An Introduction, 4th Edition now with the O’Reilly learning platform.
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