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Mar 30, 2020 at 19:12 comment added user138668 Matlab's implementation is a hybrid between Baker's and standard HM, together they do not satisfy detailed balance. Please see my comment in the other answer.
Mar 30, 2020 at 18:51 comment added Xi'an Barker's formula leads to detailed balance just like Metropolis-Hastings. See for instance Art Owen's Monte Carlo notes or our own book..
Mar 30, 2020 at 18:37 comment added user138668 But in one formula, the rate is in [0,1], in the other it is in [0,1/2]. They are thus obviously not the same. If detailed balance holds in one case, it cannot hold in the other, given that the target distribution is the same (holding T constant).
Mar 30, 2020 at 17:45 comment added Xi'an This proportionality symbol is incorrect in both $y_t$ and $x_{t-1}$.
Mar 30, 2020 at 17:10 history answered Three Diag CC BY-SA 4.0