Question: 41. Let XI' '' Xm and Y1, . .. , y be independently distributed as N(t a2 ) and N(T/, a2 ) respectively, and let
41. Let XI' "'' Xm and Y1, . .. , y" be independently distributed as N(t a2 ) and N(T/, a2 ) respectively, and let (€, T/ ,
a) have the joint improper prior density given by 7T(~ T/,
a) d~ dT/ do = d~ dT/ . - de a for all - 00 < ~, T/ < 00 , 0 <
a. Under these assumptions, extend the results of Examples 14 and 15 to inferences concerning (i) T/ - and (ii) a.
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