Question: Observations y; for i = -m, -m + 1, ... , m are available which satisfy the regression model yi~ N(a + Bu; + yvi,

Observations y; for i = -m, -m + 1, ... , m are available which satisfy the regression modelĀ 

yi~ N(a + Bu; + yvi, d), where u = i and v = i  m(m + 1). Adopting the reference prior p(a, b, y, 0) x 1/0,

yi~ N(a + Bu; + yvi, d), where u = i and v = i m(m + 1). Adopting the reference prior p(a, b, y, 0) x 1/0, show that the posterior distribution of a is such that a-y s/n ~ tn-3, where n = 2m + 1, s = See/(n-3) and See = Syy - Suy/Suu - Sy/Svv in which Syy, Suy, etc., are defined by Syy = (y - y) and Suy = [(u-u))(y - y). [Hint: Note that ui = [vi = Euv; = 0, and hence u = v= 0 and Suy = 0.]

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