An Introduction to the Bayes approach in survey sampling

Here we will consider some simple examples which demonstrate the basic calculations underlying the Bayesian approach to survey sampling. We begin by recalling the definition of conditional probability for two events A and B, i.e. P (B | A) = P (A ∩B)/P (A) or P (A ∩B) = P (A)P (B | A) In a finite sample space let A1, . . . , AK be a set of mutually exclusive events whose union is the whole space. Let B be another event. Then we have