16.7 Consider the step-function model described in Example 16.2, and a dataset consisting of the following five

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16.7 Consider the step-function model described in Example 16.2, and a dataset consisting of the following five measurements:

0; 1; 3; 4; 2:

Start a Metropolis–Hastings MCMC at  D 0,  D 2 and m D 1, and use uniform priors on all three parameters. Assume for simplicity that all parameters can only be integer, and use uniform proposal distributions that span the ranges  D ˙2,  D ˙2 and m D ˙2, and that the following numbers are drawn in the first three iterations:
Iteration 

m ˛
1 C1 1 C1 0:5 2 C1 C2 C1 0:7 3 1 2 C1 0:1 With this information, calculate the first four links of the Metropolis–Hastings MCMC.

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