7.1 Prior distribution of beta

Conditional on a design point , the elicited subjective probability distribution is Gaussian,

(34)

The and are assumed conditionally independent from other elicitations given the design matrix . Let and denote a diagonal covariance matrix. The conditional distribution of is proportional to:

(35)

The distribution for the unknown conditional on , and is then proportional to a multivariate normal with mean and covariance given by:

(36)

Last updated:
30 May 2018