16.6 Consider the step-function model described in Example 16.2, and a dataset consisting of n measurements. Assuming that the priors on the parameters ,  and m are uniform, show that the full conditional distributions are given by 8ˆˆˆˆˆˆˆ<

ˆˆˆˆˆˆˆ:

./ D G

 m P

iD1 yi C 1;m



./ D G

 n P

iDmC1 yi C 1; n  m



m.m/ D emPmi D1 yie.nm/Pni DmC1 yi Pnl D1 elPli D1 yie.nl/Pni DlC1 yi

;

(16.24)

where G represents the gamma distribution.