discrete model given by (6). Prior distributions used for the unknownparameteryinclude the exponentialgðyÞ¼expð±yÞy2ð0;lÞð8Þand the uniformgðy1=3y0;39Þcorresponding to priors observed to work well in computer simulationstudies (O’Quigley et al., 1990; Chevret, 1993). Since the hyperbolictangent model implies thatg¼lnu1=y1±u1=ythe priors induced for the MTD by the choice of (8) and (9) as the priordistribution foryarehðgjJjexplnðuÞlnð1þe2gÞ±2g!g2ð±l;lÞandhðgjJj3g2±l;lnu1=31±u1=3±²respectively, where the Jacobian is given byJ¼±2lnðuÞð1þe2gÞ½lnð1þ
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This note was uploaded on 06/13/2011 for the course PHYSICS 101 taught by Professor Shu during the Spring '11 term at FIU.