[生物书合集].Advances.in.Clinical.TBiostatisti

[生物书合集].Advances.in.Clinical.TBiostatisti

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discrete model given by (6). Prior distributions used for the unknown parameter y include the exponential g ð y Þ¼ exp ð± y Þ y 0 ; l Þð 8 Þ and the uniform g ð y 1 = 3 y 0 ; 3 9 Þ corresponding to priors observed to work well in computer simulation studies (O’Quigley et al., 1990; Chevret, 1993). Since the hyperbolic tangent model implies that g ¼ ln u 1 = y 1 ± u 1 = y the priors induced for the MTD by the choice of (8) and (9) as the prior distribution for y are h ð g j J j exp ln ð u Þ ln ð 1 þ e 2 g Þ± 2 g ! g 2ð± l ; l Þ and h ð g j J j 3 g l ; ln u 1 = 3 1 ± u 1 = 3 ±² respectively, where the Jacobian is given by J ¼ ± 2ln ð u Þ ð 1 þ e 2 g Þ½ ln ð 1 þ
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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.

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